Grant, 23, penned a two-year deal at Bloomfield Road with the option of a third on Thursday.
"It's taken a few days to get it done but I'm made up that it is completed now and I'm looking forward to the season ahead," Grant told the Blackpool official website.
"I want to be playing and scoring goals for Blackpool and if I can do that then it is good for everyone.
"There is always pressure to perform, but I'm playing with good players.
"I'm looking forward to playing in the Championship next year."