Kane continued his electric start to life with the Bavarian giants by scoring a hat-trick against Borussia Dortmund in the Bundesliga on Saturday.
Kane has now plundered 15 goals in his first ten games in the German top flight.
Bayern Munich last won the Champions League in 2020 but Vertonghen, who featured alongside Kane at Tottenham Hotspurs, believes his former teammate can bring Europe's biggest trophy to the Allianz Arena once again.
Asked if Kane could be the final puzzle piece to a Bayern Champions League win, Vertonghen, an Athlete Partner for APEX, told Stats Perform: "For sure.
"There's not a lot of great number nines at the moment – that's why Barcelona paid the money for [Robert] Lewandowski, that's why Bayern Munich paid the money for Harry.
"The young number nines are very rare – you have [Erling] Haaland, Gabriel Jesus. A lot of teams are looking for them.
"Harry was there, he's fit, he's got a lot of good years ahead of him and for sure he could be the missing link there."