The Polish striker is ready to win titles with the Bundesliga champions.
The Polish centre-forward moved to the Bundesliga champions on a free transfer from Borussia Dortmund this summer after playing out the final year of his contract.
Lewandowski has signed a five-year deal with Bayern, and expects to win titles after making what he called a "step up".
"I was four years at Borussia. I knew it was time to make the next step," the 25-year-old sai". 'I know that every new player needs time but I hope the transition won't take long for me and that I'll be able to give my best from the first game.
He added: "I feel very well. I had a lovely holiday and my batteries are full again. I know that being at Bayern is a challenge and that I can become a better player here"
The highlight of Lewandowski's tenure at Dortmund was undoubtedly the club's run to the 2013 UEFA Champions League Final. He was instrumental throughout that season, and scored all four goals in the German side's 4-1 semi-final demolition of Real Madrid.
Somewhat fittingly, Dortmund went on to lose to Bayern in the final, and exciting as it was to watch Lewandowski lead his side to the pinnacle of European football it seemed a foregone conclusion that he would make the switch to the Munich club.
Fellow Dortmund superstar Mario Gotze also moved to Bayern from Dortmund at the end of the 2012-13 season, paving the way for Lewandowski to follow.
With the Pole's arrival at the club, Bayern Munich frontman Mario Mandzukic is expected to be shown the door. The club's sporting director, Matthias Sammer, confirmed that the Croatian striker will join Atletico Madrid this summer.
"Nothing is signed yet. But I think each other's word can be relied upon," he said.