After receiving a Waldorf education in Herne and finishing high school with the Abitur diploma, Möhring took vocational training to become an electrician, but then worked as a club owner, doorman, and model.

He studied communication at the Berlin University of the Arts, joined actors workshops in Cologne and Los Angeles, and lived for two years in New York City.

Möhring had his first screen appearance in the 1998 television film The Bubi Scholz Story [de], a bio-pic about a German boxer, which also featured Benno Fürmann and Götz George.

He played the lead role in a short film directed by Max Zähle, which won a Student Academy Award in 2011[3] and was nominated for an Oscar in 2012.

Möhring plays the main character, Ludvig Licht, in the 2018 Swedish television thriller series West of Liberty, based on the novel by Thomas Engstrom.