Strobl makes the step up from Germany's third tier after overseeing a sixth-placed league finish and winning the 2025/26 Westphalia Cup with Verl.
The 38-year-old picks up the baton from Dieter Hecking, who recently vacated his role as interim coach to become Wolfsburg's new managing director for sport.
Strobl has signed a two-year contract with the Lower Saxony outfit until 30 June 2028.
"Tobias is a coach with great energy and a clear footballing philosophy who, despite his young age, already brings a wealth of experience to Wolfsburg," sad Hecking. "Most recently at Verl, he demonstrated impressively not only how to shape a team, but also how to develop players and take them to a new level."