The Clarets captain is now under contract until 2022.
"I feel at home at the club and to have been here as long as I have has been fantastic," he told the club website.
"Taking the armband this year has really cemented that for me. It feels good to extend my stay here and hopefully we can keep progressing how we have done.
"I'm excited for what we can do and what we can achieve. I feel at a really good place in my career.
"I think I've been playing well and the lads all look fit and in good form and ready to go, which we will be for next season after what's going to be a quick turn-around."