The 21-year-old scored inside 80 seconds of his England debut on Friday night after the Tottenham Hotspur striker replaced captain Wayne Rooney.
He scores all types of goals, left foot, right foot and headers. He is nearly the complete player
Kane netted England’s fourth goal in a 4-0 victory over Euro 2016 qualifying opponents Lithuania, scoring with his first touch for the national team.
Former Aston Villa manager Lambert, who was on the receiving end of a late Kane winner at Villa Park earlier this season, highlighted the striker’s work-rate as particularly impressive.
“It has been a phenomenal season for him. Everybody recongises that. What has really impressed me is his work-rate,” Lambert told BBC Sport.
“If he keeps that going, he has a really big, big future. He scores all types of goals, left foot, right foot and headers. He is nearly the complete player.”
Kane has scored 19 Premier League goals this season, joining Chelsea striker Diego Costa at the top of the goal-scoring charts.
Only Barcelona legend Lionel Messi has scored more goals than the Tottenham striker in 2015.
England face Italy in their next game on Tuesday night in an international friendly after losing to the Azzurri at the World Cup last year.
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