The former Newcastle United and Queens Park Rangers man made the observation following England’s narrow 2-1 victory over Wales on Thursday afternoon.
Kane started the Euro 2016 Group B game at Stade Bollaert-Delelis in Lens and played for 45 minutes.
The 22-year-old striker took two shots, had a pass accuracy of 78%, created one chance, and made one clearance and one block.
Barton, who recently joined Scottish Premiership-bound Rangers on a free transfer, believes that the Tottenham striker needs a rest.
The former Newcastle and Manchester City midfielder has also claimed that Raheem Sterling needs a rest as well.
The City attacker failed to make an impact for England against Wales on Thursday afternoon.
The former Liverpool youngster was taken off by England head coach Roy Hodgson after just 45 minutes.
The 21-year-old, who can play as a winger or as an attacking midfielder, took one shot, had a pass accuracy of 67%, put in two crosses, attempted two dribbles, and made one interception and one block.
Barton was impressed with the performances of Manchester United star Wayne Rooney and Tottenham right-back Kyle Walker against Wales.
Walker was superb down the right, while Rooney was an influential figure operating from England’s midfield.
Rooney was suburb again. Kyle Walker also excellent. Joe Hart got away with one. Sterling needs a rest and by the looks of it Kane also.— Joseph Barton (@Joey7Barton) June 16, 2016