Tranmere fought back in the second half to share the spoils but it was a somewhat ill-tempered Division Two clash which realised nine cautions, five of them for visiting players.
Blackpool enjoyed the better of the opening half. Former Tranmere player Scott Taylor saw an early header stopped on the line and then fired wide in the 26th minute when set up by Danny Coid.
But Taylor made no mistake in the 35th minute when put through by Richie Wellens, netting past keeper John Achterberg for his 26th goal of the season.
Eugene Dadi missed a couple of good chances for Tranmere but the Merseysiders began to get on top in the second period.
Blackpool for the best part defended well but it was 1-1 in the 74th minute. A miscued shot by Danny Harrison saw the ball run to Iain Hume who fired just inside his left-hand post.
It was then nearly all Tranmere. Blackpool keeper Lee Jones beat out a goal-bound shot by Hume and then saved headers from Hume and Alan Navarro.
Rovers almost sneaked the verdict in the 90th minute, but an angled shot by Hume grazed the outside of a post.
Hume and Navarro were excellent for the home side. Wellens was outstanding for Blackpool and Taylor always proved something of a handful in attack.
Blackpool manager Steve McMahon said: "I feel it was two points lost. Perhaps we should have got more than one goal in the opening half when we were on top.
"We were a bit sloppy later and allowed Tranmere to create chances. One point is usually okay away from home, but when you are pushing to get into a play-off place it is not enough." Tranmere manager Brian Little said: "I thought we deserved the draw and it was a decent result for us. We defended badly early on but tightened up later.
"Everybody had a go in the second half and overall I am reasonably pleased with things. The number of draws is a bit frustrating, but it is important not to lose games."