It was the 17th minute before an effort on goal was registered as Gomes let fly from distance for the visitors, but it flew over the crossbar.
On 20 minutes, Posh created a glorious opportunity in front of goal as Gayle fed Boyd, but his left-foot shot was pushed behind by the goalkeeper Gilks. It was a great chance for Boyd who had beaten the offside trap.
Lee Tomlin saw a shot blocked from long-range while Newell wasted an excellent crossing opportunity after a clever free-kick routine from Darren Ferguson's men.
Gayle was inches away from converting a Tomlin cross on 38 minutes as Posh continued to create half-chances in front of goal. Olejnik made a routine stop to deny a speculative effort from Ince on 40 minutes.
The Seasiders opened the scoring following a scrappy opening to the second period, Thomas Ince getting to the by-line and delivering a left-foot chip to the back post where Wes THOMAS couldn't miss at the far post.
Thomas was then denied by Olejnik after a swift Blackpool counter-attack. INCE doubled the lead on 58 minutes from the penalty spot after a foul by Alcock on Thomas.
Posh reduced the arrears on 70 minutes as Dwight GAYLE netted his first goal for the club, capitalising on a poor back pass to slot past Gilks. Ince fired wide at the other end after being afforded time and room out on the left hand side. Ince then rounded Olejnik but found the side-netting.
Brisley was denied by Gilks after a fine volley before Kane Ferdinand replaced Little. Blackpool made it 3-1 from close-range as substitute DICKO converted a low cross from the right.
It was 4-1 to the now rampant Seasiders and it was no surprise that Thomas INCE was the man who scored it, racing on to a long ball and firing superbly into the top corner.
In stoppage time, Gilks denied Danny Swanson after a neat one two with man of the match Gayle.
Final Score: Posh 1-4 Blackpool
Posh: Olejnik, Little (sub Ferdinand 78min), Newell, Brisley, Knight-Percival, Alcock (sub Rowe 58min), McCann, Boyd (sub Swanson 58min), Thorne, Tomlin, Gayle. Unused subs: Day, Zakuani, Kearns, Gordon.
Blackpool: Gilks, Crainey, Gomes, Ince, Baptiste, Basham, Osbourne (sub Dicko 79min), Cathcart, Thomas (sub Phillips 87min), Delfounso (sub Martinez 80min), Broadfoot. Unused subs: Halstead, Eardley, Sylvestre, Harris.
Attendance: 5,633 (546 Blackpool fans)