Goals from Zvjezdan Misimovic and Grafite in the last quarter of the game earned Armin Veh's side all three points at the VW-Arena.
Grafite saw a shot blocked on the line as the home side pressed late on but Fulham held out for a deserved win.
Grafite's second of the game 11 minutes into the second half and a fifth from highly-rated Edin Dzeko after 74 capped a memorable occasion for Wolfsburg.
Highly-rated Wolfsburg strike-duo Edin Dzeko and Grafite have hit the net 41 times between them this season but in two games Fulham have held them at bay.
In other mathes on Saturday, title holders Wolfsburg came from behind to win 2-1 in Hoffenheim, with Brazilian Grafite notching the winner on his return to the side.
Bosnia's Dzeko and Brazil's Grafite have scored 54 goals between them this season to break the previous record set by Bayern Munich's Gerd Muller and Uli Hoeness in the 1970s.
The game was effectively settled after 26 minutes when Sebastian Proedl's own goal put the hosts 3-0 up after strikes from Zvejezdan Misimovic after six minutes and Grafite on 15.
They gifted the visitors too much possession in dangerous areas and despite the Germans squandering two chances through tame shooting from Grafite and substitute Obefami Martins their quality eventually shone through.
New Wolfsburg coach Veh made just one change from the side preferred by his predecessor Felix Magath last season with Karim Ziani starting in the midfield behind Edin Dzeko and Grafite.
Their strength is built on the formidable attacking duo of Edin Dzeko and Grafite, who overcame injury and illness respectively to start this match, which may partly explain why they were largely anonymous throughout.
Patrick Owomoyela made it 3-0 after 37 minutes with Brazilian Grafite pulling one back 10 minutes into the second half but Wolfsburg were well beaten and have not won in their last four games.
However, Stefan Kiessling made it 3-0 after 58 minutes before Zvjezdan Misimovic reduced the deficit with a free-kick on 76 and Grafite's penalty four minutes later, after Hans Sarpei felled Edin Dzeko, set up a tense finish.
Mark Schwarzer in the visitors' goal was forced to palm a Christian Gentner shot from 16 yards past the post and only a linesman's flag prevented Grafite levelling with a follow-up effort from an initial shot from Andrea Barzagli.
The closest either of Wolfsburg's main strike duo came to scoring was very late on but Schwarzer was equal to Dzeko's volley from a corner and then Hangeland was well-placed to clear off the line when Grafite followed up a shot from his partner that had hit the post.
应用推荐