Midfielder Britton has extended his current deal on improved terms until the summer of 2016.
The 30-year-old follows striker Michu and winger Wayne Routledge, who have both signed new contracts in recent weeks.
"I'm delighted. I know I've said it before, but I'd love nothing more than to finish my career here," he said.
"It's been my life for the last 10 years, apart from a six month sabbatical at Sheffield United, of course, and there's no other place I'd rather be playing my football."