It was a 22nd victory for Hansi Flick in just his 25th game in charge.
Story of the match
Bayern totally controlled possession in the early stages and scored with the first clear-cut opportunity they fashioned.
Thomas Muller picked the ball up from Joshua Kimmich and swung a cross toward Serge Gnabry at the back post. Gnabry calmly directed it back across goal to Pavard, whose mishit effort was inadvertently bundled home by Zanka.
On 28 minutes, Dusseldorf 'keeper Florian Kastenmeier did well to push Muller's low effort round the post, but he could only palm Pavard's free header from the resulting corner into the net. Still, there was no denying that it was the Frenchman's goal this time.
Bayern were not invulnerable, offering up plenty of space for the visitors on the counter-attack. Kenan Karaman came closest to capitalising, with Davies called upon to make an important block as he fired goalwards following Erik Thommy's cross.
But their faint hopes of finding a route back into the game were extinguished before the break. Bayern's third, created and finished by Lewandowski, oozed class. The frontman set Kimmich away with a subtle flick, and it was then worked back to Muller, who was able to tee-up an easy finish.
The goal moved Muller onto 18 assists for the season and completed Lewandowski's Bundesliga set.
Within five minutes of the restart, he had doubled his tally. Kingsley Coman latched onto the ball and clipped it to Gnabry, who slid it across the box for Lewandowski, on hand to direct the ball under Kastenmeier with an intelligent backheel.
Moments later, Davies, impressive once again, had Dusseldorf fearing humiliation. They failed to clear and the tigerish Canadian pounced, driving through their weary defence and slotting in Bayern's fifth.
There should have been a moment of solace on the hour when Andre Hoffman rose for a header from point-blank range, but he somehow managed to lift it over the crossbar. Niko Giesselmann went for a more speculative effort soon after, forcing Manuel Neuer to dive down to his left and at least earn a thirteenth clean sheet of the season.
Bayern's best opportunities to make it six fell to Muller and Lewandowski, but the former lacked composure as he lashed over from eight yards and the latter was denied by Kastenmeier as he tried to turn in the rebound from a Gnabry strike.
Flick chose to give runouts to promising youngsters Mickael Cuisance, Oliver Batista Meier and Joshua Zirkzee, and the game drew to a steady conclusion.
Lewandowski's building Ballon D'Or claim
For Robert Lewandowski, this was a tale of two flicks - neither of them the man in the dugout. He effectively set-up a goal with the first and scored one with the second. Golden touches like these demonstrate that he is playing with a certain nonchalance, or even an arrogance.
And why wouldn't he be? He has now scored 29 league goals this season, more than anybody else in Europe's top five divisions. By the time their campaigns resume next month, he will surely have set an almighty benchmark.
Across all competitions, he is up to a dizzying 43. And that includes 11 in the Champions League. If he can fire the Bavarians to European as well as domestic glory, he might well emerge as Lionel Messi's closest rival for the game's top individual honour.
Bayern will look to clear their toughest remaining hurdle when they travel to in-form Bayer Leverkusen, who won at the Allianz in the autumn, next Saturday.
Meanwhile, following the end of their six-match unbeaten run, 16th-placed Dusseldorf will look to boost their survival prospects in a more winnable home meeting with Hoffenheim.