Wrexham started the day in third, one point behind second-placed Wycombe, and tried to lay down a marker early on with a fast start at Bloomfield Road.
James McClean was through on goal after a lovely team move but goalkeeper Harry Tyrer made a good stop, although this was a gilt-edged opportunity. Jay Rodriguez had a big chance of his own from close range but the Blackpool stopper kept out his effort, too.
The Welsh side finally got the breakthrough in the 61st minute when veteran McClean curled a 20-yard shot through a crowd of bodies to send the away fans wild. Ollie Rathbone then doubled the Red Dragons' lead two minutes later when he swept home Rodriguez's neat lay-off from 10 yards.
Substitute Stephen Fletcher was fortunate to stay on the field after accidentally kicking Oliver Casey in the face, with the Scot getting away with a booking.
Blackpool's Rob Apter fired into the corner at the death to make it 2-1 but it meant little as the raucous travelling fans roared their side to victory as Phil Parkinson's men capitalised on Wycombe's shock 4-0 home loss to fellow promotion-hopefuls Charlton Athletic to cap off a remarkable Easter Sunday.
Wrexham now have a two-point cushion over Wycombe with two games to play as they aim for an historic third straight promotion.