In-form Crystal Palace ended Bournemouth's three-match winning streak with a battling goalless draw at the Vitality Stadium.
Alan Pardew's side started brightly and Simon Francis cleared Damien Delaney's goalbound volley off the line.
But Bournemouth recovered well and Matt Ritchie headed wide before Eunan O'Kane's shot was tipped over.
However, they could not break through as Palace extended their unbeaten away run to four matches.
A draw was a fair result in a match in which both teams enjoyed spells of superiority, but in truth this was a disappointing encounter as two of the division's form teams struggled to carve out clear-cut chances.
A point nevertheless sees Crystal Palace climb one place to fifth, while Bournemouth remain 14th.
Having scored 10 goals in their previous five matches - an unbeaten run - Bournemouth would have had high hopes of continuing their fine attacking form.
But they struggled to get going as Palace made the stronger start - with Delaney close to giving Palace the lead after 10 minutes.
Thereafter Eddie Howe's side grew into the game, but a mere two shots on target - both from outside the area - tells the tale of a frustrating afternoon.
And Howe admitted: "It's not a scoreline you'd associate with us. We had the best chances, but we're disappointed not to have worked their keeper more."
While this was hardly a vintage performance from the Eagles, it did demonstrate many of the qualities that have made them such a formidable proposition on the road.
Scott Dann and Damien Delaney gave a typically commanding performance at the back as they totally snuffed out the threat of former Palace striker Glenn Murray and ensured Palace's tally of goals conceded away - seven - remains the lowest in the league.
And in front of the back four James McArthur was excellent, making a team-high four tackles and winning possession on nine occasions - more than anyone else on the pitch.
That solidity was crucial as Palace earned a 36th away point of 2015 - second only to Arsenal.
Bournemouth manager Eddie Howe: "It was a real battle, Palace are a very good side, very physical and we certainly knew we were in a game. But the most pleasing aspect from my perspective was the way we fought and defended set plays, with the aerial threat they've got.
"We're harder to beat now, that's six games unbeaten, confidence is improving and belief is growing. We probably created the best chances but didn't take them. We're now moving into a tough period when we know we'll have to be even better."
Crystal Palace manager Alan Pardew: "Physically and mentally, it was a tough game - you have to take your hat off to Bournemouth as they're relentless. I had to bring on Yohan Cabaye [at half-time] to get some of the ball, and in the last six minutes I think it showed, as Bournemouth couldn't raise a leg by then. But I'm full of admiration for what they [Bournemouth] did. We'll take the point, it moves us up a place, the unbeaten run goes on, we go to the next game."
Bournemouth visit Arsenal on Monday, while Palace face Swansea.
Full Time Match ends, Bournemouth 0, Crystal Palace 0.
90:00 +3:40 Full timeFull Time Second Half ends, Bournemouth 0, Crystal Palace 0.
90:00 +3:02Foul by Tokelo Rantie (Bournemouth).
90:00 +3:02Pape Souaré (Crystal Palace) wins a free kick in the defensive half.
90:00 +1:46Eunan O'Kane (Bournemouth) wins a free kick in the defensive half.
90:00 +1:46Foul by Pape Souaré (Crystal Palace).
90:00 +1:15 SubstitutionSubstitution Substitution, Bournemouth. Yann Kermorgant replaces Dan Gosling.
90:00 +0:27Foul by Simon Francis (Bournemouth).
90:00 +0:27Marouane Chamakh (Crystal Palace) wins a free kick in the attacking half.
88:10Steve Cook (Bournemouth) wins a free kick in the defensive half.
88:10Foul by Marouane Chamakh (Crystal Palace).
87:36Corner, Crystal Palace. Conceded by Matt Ritchie.
83:53Foul by Tokelo Rantie (Bournemouth).
83:53Mile Jedinak (Crystal Palace) wins a free kick in the defensive half.
82:30Delay over. They are ready to continue.
81:26Delay in match Damien Delaney (Crystal Palace) because of an injury.
80:29Corner, Bournemouth. Conceded by Pape Souaré.
78:41Attempt blocked. Tokelo Rantie (Bournemouth) left footed shot from the centre of the box is blocked. Assisted by Eunan O'Kane.
78:10Corner, Bournemouth. Conceded by Joel Ward.
77:37Corner, Bournemouth. Conceded by Damien Delaney.
Corner, Crystal Palace. Conceded by Charlie Daniels.
74:39Offside, Bournemouth. Junior Stanislas tries a through ball, but Eunan O'Kane is caught offside.
73:31 SubstitutionSubstitution Substitution, Crystal Palace. Mile Jedinak replaces Joe Ledley.
72:59Matt Ritchie (Bournemouth) wins a free kick in the defensive half.
72:59Foul by Wilfried Zaha (Crystal Palace).
71:56Offside, Bournemouth. Simon Francis tries a through ball, but Tokelo Rantie is caught offside.
70:56 SubstitutionSubstitution Substitution, Bournemouth. Tokelo Rantie replaces Glenn Murray.
69:55Corner, Bournemouth. Conceded by James McArthur.
67:57Corner, Bournemouth. Conceded by Yohan Cabaye.
67:01 SubstitutionSubstitution Substitution, Crystal Palace. Marouane Chamakh replaces Fraizer Campbell.
65:13Junior Stanislas (Bournemouth) wins a free kick on the left wing.
65:13Foul by Joel Ward (Crystal Palace).
64:31Attempt blocked. James McArthur (Crystal Palace) header from the centre of the box is blocked. Assisted by Pape Souaré with a cross.
63:36Foul by Glenn Murray (Bournemouth).
63:36Damien Delaney (Crystal Palace) wins a free kick in the defensive half.
62:35Attempt missed. Junior Stanislas (Bournemouth) right footed shot from more than 35 yards is close, but misses to the right from a direct free kick.
62:01Junior Stanislas (Bournemouth) wins a free kick in the attacking half.
62:01Foul by James McArthur (Crystal Palace).
60:14Attempt blocked. Dan Gosling (Bournemouth) right footed shot from outside the box is blocked. Assisted by Eunan O'Kane.
58:33Corner, Crystal Palace. Conceded by Charlie Daniels.
58:22Attempt blocked. Scott Dann (Crystal Palace) right footed shot from the right side of the box is blocked.
58:20Attempt blocked. Scott Dann (Crystal Palace) right footed shot from outside the box is blocked.
57:41Foul by Adam Smith (Bournemouth).
57:41Jason Puncheon (Crystal Palace) wins a free kick on the left wing.
55:57Foul by Andrew Surman (Bournemouth).
55:57Joe Ledley (Crystal Palace) wins a free kick in the attacking half.
54:30Corner, Crystal Palace. Conceded by Adam Smith.
54:08Attempt saved. Glenn Murray (Bournemouth) right footed shot from the centre of the box is saved in the centre of the goal. Assisted by Dan Gosling.
50:37Corner, Bournemouth. Conceded by Wayne Hennessey.
50:35Attempt saved. Eunan O'Kane (Bournemouth) right footed shot from outside the box is saved in the top centre of the goal. Assisted by Simon Francis.
48:25Adam Smith (Bournemouth) wins a free kick in the defensive half.
48:25Foul by Jason Puncheon (Crystal Palace).
45:47Corner, Bournemouth. Conceded by Pape Souaré.
45:00Second Half begins Bournemouth 0, Crystal Palace 0.
45:00 SubstitutionSubstitution Substitution, Bournemouth. Eunan O'Kane replaces Harry Arter.
45:00 SubstitutionSubstitution Substitution, Crystal Palace. Yohan Cabaye replaces Jordon Mutch.
45:00 +2:08 Half timeHalf Time First Half ends, Bournemouth 0, Crystal Palace 0.
45:00 +0:31Attempt missed. Jordon Mutch (Crystal Palace) right footed shot from the centre of the box misses to the left. Assisted by Jason Puncheon with a cross.
40:59Attempt missed. Jordon Mutch (Crystal Palace) header from the centre of the box is just a bit too high. Assisted by Wilfried Zaha with a cross.
39:19Attempt missed. Junior Stanislas (Bournemouth) left footed shot from the centre of the box is too high. Assisted by Glenn Murray.
37:51Corner, Crystal Palace. Conceded by Harry Arter.
37:14Corner, Crystal Palace. Conceded by Steve Cook.
35:32 BookingBooking Harry Arter (Bournemouth) is shown the yellow card for a bad foul.
34:19Foul by Harry Arter (Bournemouth).
34:19Wilfried Zaha (Crystal Palace) wins a free kick on the right wing.
33:18Attempt missed. Andrew Surman (Bournemouth) left footed shot from the centre of the box is close, but misses to the left following a corner.
32:47Corner, Bournemouth. Conceded by Joel Ward.
32:43Attempt saved. Dan Gosling (Bournemouth) right footed shot from outside the box is saved in the top left corner. Assisted by Matt Ritchie.
31:14Foul by Glenn Murray (Bournemouth).
31:14Scott Dann (Crystal Palace) wins a free kick in the defensive half.
30:37Glenn Murray (Bournemouth) wins a free kick on the left wing.
30:37Foul by Damien Delaney (Crystal Palace).
30:08Glenn Murray (Bournemouth) wins a free kick in the defensive half.
30:08Foul by Jason Puncheon (Crystal Palace).
27:34Glenn Murray (Bournemouth) wins a free kick on the right wing.
27:34Foul by Damien Delaney (Crystal Palace).
25:08Offside, Crystal Palace. Damien Delaney tries a through ball, but Fraizer Campbell is caught offside.
22:11Attempt missed. Glenn Murray (Bournemouth) header from the centre of the box is close, but misses to the left. Assisted by Junior Stanislas with a cross.
20:33Foul by Harry Arter (Bournemouth).
20:33Wilfried Zaha (Crystal Palace) wins a free kick in the attacking half.
19:48Andrew Surman (Bournemouth) wins a free kick in the defensive half.
19:48Foul by Jordon Mutch (Crystal Palace).
15:48Attempt missed. Fraizer Campbell (Crystal Palace) left footed shot from outside the box is close, but misses the top left corner. Assisted by Damien Delaney with a cross.
13:43Attempt saved. Harry Arter (Bournemouth) right footed shot from outside the box is saved in the bottom right corner. Assisted by Junior Stanislas.
10:56Adam Smith (Bournemouth) wins a free kick on the right wing.
10:56Foul by Pape Souaré (Crystal Palace).
8:57Attempt blocked. Damien Delaney (Crystal Palace) left footed shot from the centre of the box is blocked. Assisted by Jason Puncheon with a cross.
8:17Corner, Crystal Palace. Conceded by Adam Smith.
5:44Foul by Pape Souaré (Crystal Palace).
5:44Matt Ritchie (Bournemouth) wins a free kick on the right wing.
3:42Corner, Crystal Palace. Conceded by Adam Smith.
3:01Joe Ledley (Crystal Palace) wins a free kick in the defensive half.
3:01Foul by Dan Gosling (Bournemouth).
2:07Foul by James McArthur (Crystal Palace).
2:07Adam Smith (Bournemouth) wins a free kick in the defensive half.
1:15Attempt missed. Scott Dann (Crystal Palace) header from the centre of the box misses to the left. Assisted by Jason Puncheon with a cross following a corner.
0:46Corner, Crystal Palace. Conceded by Matt Ritchie.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
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