The Tottenham star topped the chart by two goals ahead of a group including Antoine Griezmann and Kylian Mbappe, who both scored in France’s 4-2 defeat of Croatia in Sunday’s final.
Manager Gareth Southgate rested Kane for the third group game against Belgium but the captain returned to score from the penalty spot against Colombia in the last 16.
He failed to add to his tally in England’s next three games — the 2-0 quarter-final win over Sweden, the 2-1 semi-final loss to Croatia nor the 2-0 third-place play-off defeat by Belgium.
Joining Griezmann and Mbappe on the four-goal mark were Russia’s Denis Cheryshev, Portugal’s Cristiano Ronaldo and Belgium’s Romelu Lukaku.