Wepper made headlines in the yellow press when he left his wife Angela for the younger Susanne Kellermann (born 1974) in 2009. He has a daughter (born 2012) from the relationship with Kellermann, but later returned to his wife. Angela von Morgan died in January 2019, aged 76, following a cerebral haemorrhage. Since they met during the filming of "Cabaret" in 1971, Wepper and Liza Minnelli are close friends.