From 3-2 behind at half-time, manager Dieter Hecking’s visitors turned the contest around with two goals from Bas Dost and Daniel Caligiuri’s second of the match to inflict a first league defeat of 2015 on Bremen.
Bremen had earlier led three times thanks to Zlatko Junuzovic, Franco Di Santo and a Vieirinha own goal, but Wolfsburg replied through Caligiuri and Maximilian Arnold before the break.
Dutch striker Dost, on stunning form this year, netted his 10th and 11th Bundesliga goals of 2015 to transform the match in the second half, before teeing up Wolfsburg’s fifth for Caligiuri.
Bayern Munich continue to lead the way in the German top flight, but Wolfsburg are the closest challengers eight points back, and they in turn hold a 10-point cushion over third-placed Borussia Monchengladbach
Monchengladbach, 2-0 winners on Sunday against Paderborn, have a four-point lead of their own over nearest rivals Bayer Leverkusen.
Two deflected goals secured Monchengladbach’s victory, with Fabian Johnson and Patrick Herrmann the scorers.
Paderborn finished the weekend inside the bottom three for the first time this season.