The 22-year-old completed a move to the Tigers in July following the expiration of his contract at Blackpool.
Ince turned down the chance to join Inter Milan this summer, but he has insisted that he is happy to be playing for Steve Bruce's side.
"I am over the moon," the Daily Mail quotes him as saying. "I have found my home. With the manager, when someone helps you out like that, not only on the pitch but off the pitch, you are happy.
"When you are happy off the pitch the performances come on it. I know what I want to do, I've got ambitions in myself. But first of all it is to try and do well for Hull City."
Ince had a spell on loan playing for Crystal Palace last season, scoring once in eight appearances.