The 26-year-old will make the switch in the summer from Stuttgart, for whom he has scored 10 goals in 25 Bundesliga outings.
"Although I am fully concentrated on the closing phase of the season with VfB Stuttgart right now and my focus is completely there, it is also very clear that I have made a very conscious decision to take on a new challenge in Wolfsburg this summer," he told the club's official website.
"I am convinced that the move to VfL is exactly the right step for me, because Wolfsburg - regardless of the current situation - are chasing the very highest sporting ambitions. I want to play my part in helping the club achieve those goals."
Didavi, who was previously linked with Tottenham Hotspur, has agreed a five-year deal at the Volkswagen Arena.