The tall striker netted a staggering 41 goals in the Bundesliga last season, registering an average of 1.43 goals per league match.
Lewandowski left runner-up Lionel Messi 11 goals behind, with Cristiano Ronaldo finishing third with 29 Serie A goals for Juventus.
The former Borussia Dortmund player scored more goals than six teams in the Bundesliga.
The Poland captain who had a successful season last term broke Gerd Muller’s record of 40 goals scored in a single Bundesliga campaign set in 1971/72.
After receiving the award Lewandowski believes the support of his teammates was key to his success.
“I’m delighted by this great honour,” he told the club’s official website after receiving the prize.
“I’d like to thank my family, my teammates, the coaching staff and the whole of FC Bayern.
“I couldn’t win titles like these without their support. In sport – like in life – it’s crucial that you value each other, support each other, are always fair with each other and try to be a role model for others.
“That’s why I dedicate this award to all the people who are by my side every day. I’m very happy with what we’ve achieved together as a team. Thank you very much.”
Lewandowski has so far scored 7 goals in five Bundesliga appearances this season for the Bavarians.