"I am delighted to have signed a new three-year contract with Leicester City," Adams said.
"We have achieved a great deal in the past year of which we can be proud including the club's return to the Premier League.
"Throughout the discussions regarding my future I made is clear that I didn't want to leave the football club.
"Being in the Premier League next season provides a great opportunity for everyone associated with the club.
"There is a great deal of work to be done but we are all looking forward to it with confidence."