The Brazilian’s deal was set to expire at the end of the season, and he was eligible to speak to foreign clubs about a free transfer in the summer.
But the Blues confirmed on Friday night that Silva has extended his contract by another 12 months, tying him to the club until 2024.
Silva said in a statement: “I am honestly so happy to continue my career with the Blues.
“When I signed my first contract here, it was to just do one year. Now it is already the fourth! I could not have imagined that, but really it is a very special moment for me to sign and stay at Chelsea.”
In a joint statement, co-owners Todd Boehly and Behdad Eghbali said: “We’re delighted that Thiago has decided to continue with Chelsea.
“He’s a world-class talent, as he’s proven over many years for club and country, and his experience, quality and leadership skills are vital to our vision going forward.
“We’re thrilled he has extended his contract with us and we look forward to more success with him ahead!”