The Spurs youngsters pulled off a terrific fightback to defeat the German side and move to the top of a group that also contains Barcelona and Anderlecht
The German side took an early lead at the Elsterweg Stadion when Philip Hauck converted from the penalty spot 17 minutes into the game.
Spurs dominated much of the opening half with Alex Pritchard proving the key man as he frequently unlocked the Wolfsburg defence.
But despite Pritchard's best efforts, the London club went into the half time interval trailing by a single goal. However, their deficit did not last long as striker Shaquile Coulthirst levelled the game on 63 minutes.
Just over a quarter of an hour later Spurs were ahead, as substitute midfielder Ruben Lameiras made an instant impact by slotting home a cool finish to hand the Lilywhites the lead.
That advantage was extended three minutes from the end as Pritchard netted with a spectacular 20-yard free-kick to ensure victory.
Wolfsburg did pull a goal back in injury time through midfielder Julian Brandt, but it proved to be nothing more than a consolation as Spurs duly held out to take the three points and move to the summit of Group One.