Tom Heaton's superb save helped Bristol City earn a vital point in their battle for survival in the Championship.
The ex-Manchester United goalkeeper kept out Kirk Broadfoot's header in a game of few chances at Bloomfield Road.
His superb stop helped the Robins move within two points of safety despite falling to the foot of the table.
Blackpool, who are 16th, could not find the breakthrough and have not scored in the three games since
Paul Ince took over
as manager on 18 February.
Blackpool are now unbeaten in five Championship matches against Bristol City
City started well and Marvin Elliott, Lewin Nyatanga and Jon Stead all had chances blocked by Blackpool defenders.
Paul Anderson was next to threaten but the former Liverpool winger fired just over the bar after being found by Stephen Pearson.
At the other end Tom Ince tested Heaton and Matt Derbyshire volleyed wide from 12 yards on the stroke of half-time.
It was City doing all the pushing after half-time and after heading straight at Matt Gilks, Steven Davies had the ball in the net but he was flagged for offside.
Manager Ince introduced Nathan Delfouneso and the Aston Villa loanee came close to connecting with Alex Baptiste's pass.
A minute later Heaton did brilliantly to keep out Broadfoot's header from a Tom Ince corner and City held on for the point.
Blackpool assistant boss Steve Thompson:
"We are trying a style of play that suits us but we are finding it very frustrating on that pitch.
"We are adapting and changing the way we play at home which is wrong. It's a leveller, that pitch. It's frustrating for our players who want to get out and try and trust themselves with it.
"You try and play in the right areas, but the players have to sometimes take two touches instead of one. It's wrong that we've got a fantastic passing team and we're struggling to flow at Bloomfield Road."
Bristol City manager Sean O'Driscoll:
"I thought we were consistent from the first whistle to the last and in the Championship that's quite difficult.
"It's another game. This is a treadmill in the Championship. You don't look too far ahead and you don't look too far behind you. It's onto the next game.
"The most important moments of the game were a corner and a throw. The rest of it you could probably forget."
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