Mark was born in Horne, Surrey to farmer and amateur entertainer Bernard Kempner, and former land-girl Mary Kempner. He went to Michael Hall school, and excelled in particular, in the many drama classes. Mark worked on the family farm until meeting wife Anna at 18. They married in 1982. They have two children, both of whom are also professional actors. Soon after leaving school, Mark worked on a Kibbutz in Israel for a year and in that time, started up a touring comedy drama group. The group toured other Kibbutz's performing comedy sketches.
Mark Kempner has appeared in 10 movies.
These include Kill List, Tale of a Vampire, Down Terrace, Everyone's Going to Die, The Murder in Angel Lane, This Country - The Aftermath, Doctor Who: Deep Breath, Criminal, Sightseers and The World's End.Mark Kempner has appeared in 6 TV Series.
These include This Country, Peep Show, Ted Lasso, Pie in the Sky, Wycliffe and Doctor Who.