The 29-year old Scotland midfielder, who has recently been linked with Crystal Palace, has penned a contract extension with the Bhoys which will see him remain at Parkhead until the summer of 2018.
"It's an absolute privilege to extend my contract with Celtic, a brilliant football club and with such incredible supporters. This is a place that I call home," he told the club's official website.
"Being Celtic captain is a tremendous honour and it is a role which I cherish dearly. The team is in a great place just now and we're all right behind the manager and the backroom team as they build for the future.
"I will do all I can with the manager and all the players at the club to deliver the success which our supporters deserve."
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