The league's top scorer Mandzukic, unfazed by media reports Bayern are close to signing Borussia Dortmund forward Robert Lewandowski for next season, snatched his 15th goal of the campaign in dazzling fashion in the 36th minute.
Substitute Robben then drilled the ball in from six metres in stoppage time at the end of the game as Bayern continued their spectacular assault on a first league title since 2010.
"Wolfsburg certainly battled very hard," Bayern coach Jupp Heynckes told reporters.
"It was tough and it is these games we must win. We did just that and showed we are a top team."
The teams set a fierce tempo early on with Thomas Muller heading over the bar for the visitors and Wolfsburg's Bas Dost failing to connect with a good chance in the box.
"We gave it all we had and it was an evenly-balanced game in the second half," said Wolfsburg coach Dieter Hecking.
"Bayern are more efficient. We need to continue working as we have but we have become more stable as a team," added Hecking who took charge in December.
