The Bayern Munich striker improved his tally to four goals in three international outings with a first-half brace that laid the foundation for 21 year-old David Kownacki and substitute Jakub Blaszczykowski to put the result beyond doubt.
Adam Nawalka's men are likely to lean heavily on their star striker in Russia and Lewandowski, judging by his 45-minute effort in Warsaw, looks ready to handle the weight of expectation.
He notched the opener on 19 minutes by side-footing home at close range from a smart Maciej Rybus lay-off, before going it alone in the 32nd minute with a delightful free-kick that went in off the underside of the bar.
Kownacki's first international goal arrived in simpler fashion in the 71st minute, the Sampdoria forward tapping home after a classy one-touch move on the edge of the area.
The confidence-boosting result was capped off when the VAR spotted a handball against Algis Jankauskas with eight minutes remaining, Blaszczykowski converting from the spot to sew up a second win in three matches for the world's eighth-ranked nation ahead of its opening Group H clash against Senegal next Wednesday (AEST).