Lewandowski had a fantastic 2020, where he scored 55 goals in 47 appearances in all competitions as he also helped Bayern Munich to sweep the Bundesliga, DFB Pokal and the UEFA Champions League last season.
The 32-year-old has started this season in similar fashion as he has netted 18 goals in 17 games for the Bavarian giants so far.
"I feel fantastic," Lewandowski said after hoisting the prestigious award.
"I am very proud and happy to be honest, this is a great day for me, and also for my club and colleagues.
“This award also belongs to my colleagues, the coach and Bayern Munich in general. It is an incredible feeling, a lot of emotions.
"If you win such an award and share that title with Messi and Ronaldo, that is unbelievable and it means so much to me.
“A long time ago, I remember I was longing for something like this and now I can win such an award.
“This really means, regardless of where you come form, all that matters is what you put into it."
The former Borussia Dortmund striker, who is Poland’s all-time scorer with 63 goals, became the first Polish recipient of FIFA Men’s Player Award.