Ince accepted a charge given to him by the governing body for using an offensive and/or insulting and/or abusive gesture towards a match official.
North End won the contest 1-0 and the final whistle was greeted by a pitch invasion which saw a steward trampled on by a police horse.
It means Blackpool will be without their highly-rated winger for this Saturday's clash against Barnsley and the trip to Middlesbrough.
However, Ince, who is also carrying a minor groin injury, could feature for the England Under-21s against Scotland at Bramall Lane next Tuesday after he was named in the squad.
- Sports & Recreation