Burrow has played a massive 423 games for the club, collecting a host of honours along the way.
He is keen for the glory days to go on for as long as possible.
“It has been a fantastic time in my career to be part of the Leeds Rhinos team and I want that to continue,” he said.
“This is the best club in Rugby League and the only club I have ever known. I cannot imagine ever being anywhere else and, having grown up supporting the club, it makes it extra special that I will be able to start and finish my career here. That is something I have always wanted to do.
“While ever I am hungry to play and happy with my game, I am happy to continue to play for Leeds Rhinos.
“This is a two year contract and as Kylie Leuluai always says ‘you never say never’! The group is going through a period of transition with Jamie Peacock and Kevin Sinfield leaving the club but these are exciting times and I want to play my part in helping us move forward.
“Having been involved in coaching the juniors for a while with Carl Ablett, I know we have got some quality players coming through the ranks and hopefully I can help them enjoy the same sort of fantastic career I have had with the Rhinos over the next few years.
Leeds head coach Brian McDermott was pleased that a player with such enthusiasm, experience and commitment was staying at the club.
“We are pleased to have agreed a new deal with Rob for the next two years,” he said.
“His commitment to the Rhinos and determination to succeed are great examples for any young player coming through the ranks.
“He remains a threat to all teams in Super League with his unique skills set and he has the ability to unlock any game, as we have seen on so many occasions before.”