Christian Eriksen scored twice as Tottenham maintained their challenge for a top-four finish and deepened Sunderland's relegation worries.
Patrick van Aanholt gave the Black Cats the lead against the run of play but Eriksen levelled as Lee Cattermole failed to clear on the goalline.
Mousa Dembele fired Spurs ahead before Eriksen's 25-yard shot deflected in off Sunderland debutant Jan Kirchhoff.
Harry Kane then converted a penalty after Kirchhoff fouled Danny Rose.
Tottenham remain fourth in the Premier League, while Sunderland drop a position to 19th following Newcastle's win over West Ham.
Relive Tottenham's win over Sunderland
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Although routine in the end, it was an important victory for Tottenham having lost two of their previous three home league games to fall away slightly from the leading trio of Arsenal, Leicester and Manchester City.
Mauricio Pochettino's side are now unbeaten in their past 12 league games against Sunderland, although in 11 of them they have been level at half-time.
It was difficult to fathom how that was the case on Saturday as they totally dominated the opening 45 minutes, enjoying 70% possession and 15 shots to the visitors' three.
Dutch left-back Van Aanholt, who netted against Swansea on Wednesday, beat Hugo Lloris at his near post from Adam Johnson's pass to give Sunderland an underserved lead.
Spurs were level within 91 seconds as Lee Cattermole could only deflect Eriksen's shot into the roof of the net on the goalline after Sunderland goalkeeper Jordan Pickford - making his Premier League debut - saved from Kane.
Dembele's low left-foot shot gave Spurs a 2-1 lead and they noticeably relaxed from that point, stretching away thanks to Eriksen's second and Kane's 12th league goal of the season.
Despite being on the back foot throughout, Sunderland had looked relatively secure for almost an hour and occasionally threatened on the break.
Buoyed by successive league wins over Aston Villa and Swansea, they largely restricted Spurs to shots from outside the box in the first half.
Their failure to protect their lead until half-time proved costly, although former Spurs striker Jermain Defoe - who had scored five in his previous two games - had a chance to restore it early in the second half.
He and Adam Johnson raced clear of the home defence but the counter-attack lost momentum and the 33-year-old fired into the side-netting.
Centre-half Kirchhoff, signed from Bayern Munich, had only made one appearance this season prior to joining Sunderland this month.
He struggled after coming on in the 58th minute, with the foul on Rose for the penalty demonstrating how much he was off the pace.
Sunderland boss Sam Allardyce said of Kirchhoff: "It's a bit risky signing players from abroad in January but we have to take that risk. Hopefully he learns from today."
Sunderland keeper Pickford spent the first half of the season on loan at Championship club Preston and Sunderland boss Sam Allardyce said it would have been wrong not to recall him as he "made such an outstanding impact".
Allardyce hopes he can follow England Under-21 international predecessors Joe Hart and Jack Butland in graduating to the full national team and, despite conceding four goals, he made an impressive league debut, replacing Vito Mannone.
The 21-year-old, who has been on loan at six different clubs over the past four years, made superb saves at full stretch in the first half to deny Kane and Eriksen.
Pickford made further stops from Kane and Rose in the second period and was not at fault for any of the goals.
Tottenham boss Mauricio Pochettino told BSports: "It was a good response to the Leicester defeat. I'm very pleased. We need to be patient.
"We had a lot of shots on target - their goalkeeper was fantastic. I feel very pleased in the last few games. The belief is fantastic. We have a very good, strong squad - today was a good example."
Sunderland boss Sam Allardyce told BSports: "Our players put themselves in one fantastic position and then in the space of a minute conceded. It's one of the reasons we ended up losing.
"If we came in at half-time 1-0 up we could have built on that. It was a really sloppy thing to do. We ran out of legs in the end. In the last quarter, physically we were tiring.
"I changed the shape but that didn't work. The scoreline, 4-1, looks more comfortable than it was."
On Jordan Pickford: "Playing a keeper at a young age is not an easy decision to make. But I thought he handled it well. He might not play too many more games this season because Vito Mannone has done a fantastic job. The rest of the team up to 65 minutes were doing the job right but in the last 20 they failed miserably."
Tottenham travel to Leicester for an FA Cup third-round replay on Wednesday (19:45 GMT), which is live on BSports One, before a league trip to Crystal Palace next Saturday (15:00 GMT). Sunderland host fellow strugglers Bournemouth on the same day (15:00 GMT).
Full Time Match ends, Tottenham Hotspur 4, Sunderland 1.
90:00 +3:02 Full timeFull Time Second Half ends, Tottenham Hotspur 4, Sunderland 1.
90:00 +1:09Attempt missed. Christian Eriksen (Tottenham Hotspur) left footed shot from outside the box is high and wide to the left. Assisted by Son Heung-Min.
89:50Corner, Sunderland. Conceded by Danny Rose.
89:46Attempt blocked. Billy Jones (Sunderland) right footed shot from outside the box is blocked. Assisted by Duncan Watmore.
87:08 SubstitutionSubstitution Substitution, Tottenham Hotspur. Son Heung-Min replaces Harry Kane.
82:25Corner, Tottenham Hotspur. Conceded by Jan Kirchhoff.
81:47Attempt missed. Toby Alderweireld (Tottenham Hotspur) header from the right side of the six yard box misses to the right. Assisted by Christian Eriksen with a cross following a corner.
81:21Corner, Tottenham Hotspur. Conceded by Yann M'Vila.
80:45Corner, Tottenham Hotspur. Conceded by Jan Kirchhoff.
79:54Offside, Sunderland. Billy Jones tries a through ball, but Jack Rodwell is caught offside.
79:28 SubstitutionSubstitution Substitution, Tottenham Hotspur. Tom Carroll replaces Mousa Dembélé.
78:39 Goal scoredGoal! Goal! Tottenham Hotspur 4, Sunderland 1. Harry Kane (Tottenham Hotspur) converts the penalty with a right footed shot to the bottom left corner.
77:52Penalty Tottenham Hotspur. Danny Rose draws a foul in the penalty area.
77:52Penalty conceded by Jan Kirchhoff (Sunderland) after a foul in the penalty area.
75:56Dele Alli (Tottenham Hotspur) wins a free kick on the right wing.
75:56Foul by Wes Brown (Sunderland).
75:24 SubstitutionSubstitution Substitution, Sunderland. Duncan Watmore replaces Jeremain Lens.
73:33Danny Rose (Tottenham Hotspur) wins a free kick in the defensive half.
73:33Foul by Jeremain Lens (Sunderland).
Substitution Substitution, Tottenham Hotspur. Josh Onomah replaces Erik Lamela.
71:02Attempt saved. Harry Kane (Tottenham Hotspur) right footed shot from the right side of the box is saved in the top centre of the goal. Assisted by Jan Vertonghen.
66:28 Goal scoredGoal! Goal! Tottenham Hotspur 3, Sunderland 1. Christian Eriksen (Tottenham Hotspur) left footed shot from outside the box to the top right corner. Assisted by Eric Dier.
64:52Offside, Tottenham Hotspur. Christian Eriksen tries a through ball, but Erik Lamela is caught offside.
62:27Foul by Jan Vertonghen (Tottenham Hotspur).
62:27Jeremain Lens (Sunderland) wins a free kick on the right wing.
59:00 Goal scoredGoal! Goal! Tottenham Hotspur 2, Sunderland 1. Mousa Dembélé (Tottenham Hotspur) left footed shot from the centre of the box to the bottom right corner following a corner.
58:54Attempt saved. Danny Rose (Tottenham Hotspur) left footed shot from outside the box is saved in the top centre of the goal.
58:28Corner, Tottenham Hotspur. Conceded by Jordan Pickford.
58:26Attempt saved. Harry Kane (Tottenham Hotspur) right footed shot from outside the box is saved in the bottom left corner. Assisted by Danny Rose.
58:05 SubstitutionSubstitution Substitution, Sunderland. Jan Kirchhoff replaces Danny Graham.
55:54Foul by Eric Dier (Tottenham Hotspur).
55:54Danny Graham (Sunderland) wins a free kick in the attacking half.
55:19Attempt missed. Jan Vertonghen (Tottenham Hotspur) right footed shot from outside the box is high and wide to the right. Assisted by Harry Kane.
54:27Attempt missed. Dele Alli (Tottenham Hotspur) header from the centre of the box is close, but misses to the left. Assisted by Erik Lamela.
54:11 BookingBooking Adam Johnson (Sunderland) is shown the yellow card for a bad foul.
54:06Danny Rose (Tottenham Hotspur) wins a free kick on the left wing.
54:06Foul by Adam Johnson (Sunderland).
52:55 SubstitutionSubstitution Substitution, Sunderland. Jack Rodwell replaces Lee Cattermole.
52:27Attempt missed. Jermain Defoe (Sunderland) left footed shot from the left side of the box is close, but misses to the left. Assisted by Adam Johnson following a fast break.
51:27Kieran Trippier (Tottenham Hotspur) wins a free kick on the right wing.
51:27Foul by Danny Graham (Sunderland).
51:13Attempt blocked. Dele Alli (Tottenham Hotspur) right footed shot from outside the box is blocked. Assisted by Christian Eriksen.
46:48Corner, Tottenham Hotspur. Conceded by Adam Johnson.
45:53 BookingBooking Lee Cattermole (Sunderland) is shown the yellow card for a bad foul.
45:47Danny Rose (Tottenham Hotspur) wins a free kick in the attacking half.
45:47Foul by Lee Cattermole (Sunderland).
45:00Second Half begins Tottenham Hotspur 1, Sunderland 1.
45:00 +2:07 Half timeHalf Time First Half ends, Tottenham Hotspur 1, Sunderland 1.
45:00 +1:53Attempt missed. Toby Alderweireld (Tottenham Hotspur) right footed shot from the centre of the box misses to the right. Assisted by Christian Eriksen with a cross following a corner.
45:00 +1:38Corner, Tottenham Hotspur. Conceded by Adam Johnson.
45:00 +1:18Corner, Tottenham Hotspur. Conceded by Jordan Pickford.
45:00 +1:16Attempt saved. Christian Eriksen (Tottenham Hotspur) left footed shot from outside the box is saved in the bottom right corner. Assisted by Mousa Dembélé.
43:40Attempt saved. Jermain Defoe (Sunderland) right footed shot from outside the box is saved in the centre of the goal. Assisted by Jeremain Lens.
42:31Foul by Mousa Dembélé (Tottenham Hotspur).
42:31Jeremain Lens (Sunderland) wins a free kick in the attacking half.
41:29 Goal scoredGoal! Goal! Tottenham Hotspur 1, Sunderland 1. Christian Eriksen (Tottenham Hotspur) right footed shot from the right side of the box to the high centre of the goal.
41:28Attempt saved. Harry Kane (Tottenham Hotspur) right footed shot from the right side of the box is saved in the centre of the goal. Assisted by Christian Eriksen.
39:58 Goal scoredGoal! Goal! Tottenham Hotspur 0, Sunderland 1. Patrick van Aanholt (Sunderland) left footed shot from a difficult angle on the left to the bottom left corner. Assisted by Adam Johnson with a through ball.
36:52Danny Rose (Tottenham Hotspur) wins a free kick in the defensive half.
36:52Foul by Jermain Defoe (Sunderland).
35:49Mousa Dembélé (Tottenham Hotspur) wins a free kick in the attacking half.
35:49Foul by Lee Cattermole (Sunderland).
34:44Attempt missed. Erik Lamela (Tottenham Hotspur) left footed shot from the left side of the box is close, but misses to the right. Assisted by Mousa Dembélé following a fast break.
34:15Corner, Sunderland. Conceded by Mousa Dembélé.
33:30Foul by Erik Lamela (Tottenham Hotspur).
33:30John O'Shea (Sunderland) wins a free kick in the defensive half.
31:42Corner, Tottenham Hotspur. Conceded by John O'Shea.
31:37Attempt blocked. Harry Kane (Tottenham Hotspur) header from the centre of the box is blocked. Assisted by Christian Eriksen with a cross.
31:18Dele Alli (Tottenham Hotspur) wins a free kick in the attacking half.
31:18Foul by Lee Cattermole (Sunderland).
29:52Foul by Christian Eriksen (Tottenham Hotspur).
29:52Yann M'Vila (Sunderland) wins a free kick in the defensive half.
29:09Corner, Tottenham Hotspur. Conceded by Patrick van Aanholt.
29:07Attempt blocked. Harry Kane (Tottenham Hotspur) left footed shot from outside the box is blocked.
27:47Foul by Mousa Dembélé (Tottenham Hotspur).
27:47Danny Graham (Sunderland) wins a free kick in the defensive half.
27:15Jan Vertonghen (Tottenham Hotspur) wins a free kick in the defensive half.
27:15Foul by Jermain Defoe (Sunderland).
26:41Offside, Sunderland. John O'Shea tries a through ball, but Jermain Defoe is caught offside.
25:36Attempt missed. Jeremain Lens (Sunderland) right footed shot from outside the box is high and wide to the right. Assisted by Jermain Defoe with a headed pass.
24:53Attempt missed. Danny Rose (Tottenham Hotspur) left footed shot from outside the box is high and wide to the left. Assisted by Mousa Dembélé.
22:31Kieran Trippier (Tottenham Hotspur) wins a free kick in the defensive half.
22:31Foul by John O'Shea (Sunderland).
22:05Foul by Mousa Dembélé (Tottenham Hotspur).
22:05Adam Johnson (Sunderland) wins a free kick on the left wing.
20:06Attempt blocked. Mousa Dembélé (Tottenham Hotspur) right footed shot from outside the box is blocked.
19:14Harry Kane (Tottenham Hotspur) wins a free kick in the attacking half.
19:14Foul by John O'Shea (Sunderland).
17:56Offside, Sunderland. Wes Brown tries a through ball, but Patrick van Aanholt is caught offside.
16:30Attempt missed. Harry Kane (Tottenham Hotspur) left footed shot from the left side of the six yard box misses to the left. Assisted by Christian Eriksen with a cross.
8:40Attempt missed. Dele Alli (Tottenham Hotspur) left footed shot from the centre of the box is too high. Assisted by Harry Kane following a corner.
8:38Attempt blocked. Danny Rose (Tottenham Hotspur) left footed shot from outside the box is blocked.
8:07Corner, Tottenham Hotspur. Conceded by Adam Johnson.
6:41Corner, Sunderland. Conceded by Kieran Trippier.
4:50Corner, Tottenham Hotspur. Conceded by Jordan Pickford.
4:47Attempt saved. Harry Kane (Tottenham Hotspur) right footed shot from outside the box is saved in the bottom right corner. Assisted by Mousa Dembélé.
2:30Attempt saved. Toby Alderweireld (Tottenham Hotspur) header from very close range is saved in the centre of the goal.
2:28Attempt blocked. Jan Vertonghen (Tottenham Hotspur) header from the centre of the box is blocked. Assisted by Erik Lamela with a cross.
2:03Hand ball by Danny Graham (Sunderland).
0:30Foul by Erik Lamela (Tottenham Hotspur).
0:30Yann M'Vila (Sunderland) wins a free kick in the defensive half.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
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