Lewandowski positioned Bayern ahead with a beautifully-timed bicycle kick to score for a ninth consecutive Champions League look.
With Bayern already via to the last sixteen as Group E winners, Kingsley Coman doubled the visitors' lead before Denys Garmash scored the hosts' first aim inside the opposition this season.
"Misson entire, it changed into our aim to win right here," Bayern captain Manuel Neuer told DAZN.
"We're satisfied to have received all our video games with 15 points and we are looking for our next recreation towards Barcelona (in two week's time in Munich)."
Bayern had Joshua Kimmich, Serge Gnabry, Jamal Musiala, Eric Maxim Choupo-Moting and Michael Cuisance in quarantine as Covid-19 contact cases.
"Considering the occasions, we did properly, it became an essential win," delivered Neuer.
Heavy snowfall and sub-0 temperatures in Kiev could not save you Lewandowski scoring one of the first-rate desires of his career.
In the 14th minute, the ball shot skywards after hitting the boot of Ukraine defender Illya Zabarnyi and Lewandowski reacted quickest with an unstoppable, acrobatic attempt.
The Poland striker, who is the various favourites to win the Ballon d'Or award next Monday, scored his 82nd Champions League intention from a hundred and one appearances.
