The award voted for by leading journalists in conjunction with Kicker magazine, went to Lewandowski by a resounding margin.
He received 276 votes and Bayern completed a 1-2-3 in the awards as Thomas Muller pulled 54 votes to finish second, five votes ahead of Joshua Kimmich.
Bayern conquered all challenges before them in 2019-20, winning a domestic Bundesliga and DFB-Pokal double before going on to triumph in the Champions League, beating Paris Saint-Germain 1-0 in the final.
Lewandowski, 32, scored 55 goals across the season and becomes the first non-German winner of the award since Kevin De Bruyne took the honour in 2015 at the end of the Belgium midfielder’s Wolfsburg stay.
The Poland international told Kicker: “I’m very proud of it. All the more because the expectations of me are getting higher and higher and I try to exceed them every year.
“The level is so high that 25 goals per season is considered normal in the Bundesliga. I worked hard for my performance and that of the entire team, which then played superbly, both nationally and internationally.”