The Swans came back from the dead to keep their play-off hopes alive as a late strike from Lee Trundle snatched a point at Dean Court.
Roberto Martinez's side were trailing 2-0 with just seven minutes to go before staging a remarkable comeback with goals from Alan Tate and Lee Trundle.
The point wasn't enough to prevent the Swans slipping a place to eighth as Carlisle moved ahead of them, but it still narrowed the gap on sixth-placed Oldham to three points with as many games remaining.
AFC Bournemouth: Moss, Purches, Young, Gowling, Cummings, Summerfield (Broadhurst 86), Anderton (Hollands 63), Wilson, Hayter, McGoldrick (Pitman 82), Fletcher. Subs Not Used: Stewart, Vokes.
Swansea City: Gueret, R Duffy (Abbott 62), Iriekpen, Lawrence, Painter, Britton, Craney, O'Leary (Tate 52), Butler (Williams 52), Trundle, D Duffy. Subs Not Used: Oakes, Amankwaah.
Att: 6,786
Ref: C Penton (Sussex).
The Swans made two changes from the side that beat Port Vale 3-0 at the Liberty Stadium with Izzy Iriekpen returning to the centre of defence instead of Kevin Austin, while Tom Butler came in for Tom Williams in midfield.
Tate started on the bench after returning from suspension, while Trudle remained as skipper.
Bournemouth, still looking for a point to help guarantee their safety, started on top but nearly fell behind early on a slip from Warren Cummings let in Leon Britton. His cross found Darryl Duffy, but the striker blazed over.
But the home side remained on top and Darren Anderton brought a good save out of Willy Gueret witn a 16th minute free-kick.
Swansea had their chances, however, and Neil Moss did well to tip a Richard Duffy free-kick over the bar.
Bournemouth took a deserved lead after 22 minutes, however, when Cummings' corner was met by Marc Wilson with a header which flew into the top corner.
It sparked Swansea into life and they enjoyed their best spell of the half, but the closest they came to grabbing an equaliser before the break was when Ian Craney forced Moss into a good save.
Half-time: Bournemouth 1 Swans 0
Swansea started the second half brightly as a quick free-kick from Trundle forced Moss to push his effort against the post with Darryl Duffy missing a great chance to fire home the rebound before the offside flag went up.
It proved a crucial save as the Cherries doubled their advantage on the hour when James Hayter drew Gueret before slipping a square pass to Dave McGoldrick who had the simple chance of slotting the ball home.
Swansea kept on fighting as Darryl Duffy came close and Trundle hit the post as the Cherries started to struggle.
Then with seven minutes remaining and the game looking over, Craney's corner was met by Tate with a fantastic volley from 25 yards which gave Moss no chance to reduce the arrears.
Swansea really piled on the pressure now with the fantastic backing of over 1300 noisy Sans fans and when a Pawel Abbott shot was saved by Moss with just two minutes remaining, Trundle was perfectly placed to fire home his 18th goal of the season.
While the Swans were disappointed not to come away with the win, the point could prove precious come May 5 as both play-off contenders Oldham and Yeovil lost.
League One round-up
Oldham's play-off spot came under threat after they lost 2-0 at home to Cheltenham, who are close to securing their League One status. Kayode Odejayi and John Finnigan were the goalscorers.
Fifth-placed Yeovil are now just four points ahead of the Swans as they were beaten 2-0 by BristolCity.
Lee Johnson and a Bradley Orr penalty won the West Country derby after Yeovil substitute Scott Guyett had been sent off for bringing down Enoch Showunmi.
The win keeps BristolCity favourites to join Scunthorpe in the Championship after The Iron gained promotion with a 2-0 win over Huddersfield 2-0 thanks to a double from top scorer Billy Sharp, who has now netted 30 times this season.
Blackpool stay fourth after coming from behind to crush Northampton 4-1.Town led at half-time through Simon Cox, but Chris Brandon quickly levelled and Sean Dyche's handball allowed Wesley Hoolahan to score from the spot. Brandon and a Dyche own goal completed the rout.
NottinghamForest looked certain to surrender third place until an amazing comeback saw them win 4-2 at relegated Brentford. Thomas Pinault and Charlie Ide gave Bees caretaker boss Barry Quinn a dream start but David Prutton began a fightback that was sealed by a KrisCommons double and Grant Holt's penalty.
Tranmere and Millwall both suffered setbacks in their play-off bids following a 2-2 draw at the New Den.
Shane Sherriff put Rovers ahead but they needed a Calvin Zola equaliser following Alan Dunne's double for the home side.
Rotherham became the second side relegated to League Two after losing 1-0 at home to Carlisle, joining Brentford. Substitute Kevin Gray scored the winner for play-off chasing United.
Bradford also did their survival hopes the power of good, Billy Paynter scoring in a 1-0 win at Brighton that lifts them up to fourth bottom.
Leyton Orient are their next target after they were held 1-1 at home by Doncaster, Adam Lockwood cancelling out Gary Alexander's opener.
Chesterfield are now third-bottom thanks to Andrew Crofts' stoppage-time goal in their 1-0 home defeat by Gillingham.
Robin Hulbert, Leon Constantine and Luke Rodgers were all on target as Port Vale crushed Crewe 3-0.
