The Seasiders have been without a boss since last month when Michael Appleton agreed to take charge of Blackburn Rovers.
"It's great to be here. Considering I've watched the team play for the last 14 months, it's strange sitting here as the manager, having obviously watched Blackpool as a fan as well as watching my son play," he told the club's official website.
"I'm over the moon though and delighted, it's great to be back on the training ground and great to be involved with, and in charge of, a great bunch of lads.
"I've worked with a lot of players and the spirit and togetherness of the lads is absolutely fantastic. I'm glad I've been given the opportunity by Karl Oyston."
Ince senior, who has signed a one-year rolling contract, took training at Squires Gate for the first time this morning.