The prolific Poland international believes that he has a better chance of both improving as a player and winning trophies at the Allianz Arena
The Poland international's controversial decision to leave Signal Iduna Park for the Allianz Arena on a free transfer was announced in January but the striker was only officially unveiled as an FCB player at a press conference on Wednesday.
Lewandowski made an emotional goodbye to Dortmund at the end of last season but he has now explained that he felt that joining Bayern was the right move for his career.
"It was time to take the next step," the 25-year-old striker told reporters.
"I knew that Bayern Munich are of the level where I can be an even better player and win even more titles."
Looking ahead of the 2014-15 campaign, Lewandowski added: "I feel really, really good. My batteries are fully recharged."
There has been some talk that Lewandowski might not be suited to Pep Guardiola's style of play, given the coach's fondness for occasionally playing with a 'false nine'.
However, Bayern sporting director Matthias Sammer is in no doubt that Lewandowski will fit right in.
"He is incredibly flexible and has all the attributes that a footballer needs," he argued.