In 1991, he worked on the prizewinning short film Greger Olsson köper en bil, and in 2004, he won a Guldbagge Award for the best directing and script for the film Om jag vänder mig om. The film also won a Blue Angel at the Berlin Film Festival in the same year.
In 2006, he was nominated for The Nordic Council Film Prize for Mun mot mun with the producer Clas Gunnarson. The film deals with a family in crisis when their daughter, Vera, comes home with Morgan, an old criminal. Her father, Mats, fights desperately to win his daughter back.
Runge has directed a number of short films and TV productions.
In 2017, Runge directed the drama film, The Wife starring Glenn Close, Jonathan Pryce, Christian Slater, Annie Starke and Max Irons. For this role, Close won a Golden Globe, a SAG Award, and the Santa Barbara Int Film festival award for Best Leading Actress in 2018, among others.
In June 2019, Runge was awarded H.M the King's Medal 8th size for "significant contributions as a director and dramatist".