The 26-year-old England international midfielder has signed a three-year contract with the Tigers after falling down the pecking order at White Hart Lane.
"It's been a frustrating couple of years at Tottenham whether it be [because of] injuries or team selection. Hopefully I can come here, cement my place in the starting 11, and do well for the club," said Huddlestone.
"I had a chance to speak to Steve Bruce and I liked his ideas, his role for me within the team, and what he wants the team to do and the way he wants them to play.
"Once I'd spoken to him my mind was made up really.
"It was a very difficult decision [to leave Spurs]. Having been at Tottenham for eight years and with the club in the situation they are now, it was a very difficult decision to make, but one based on footballing reasons."