Flemming Christensen (born 10 April 1958) is a Danish former football (soccer) player and current manager of Adeccoligaen club Vard Haugesund. In his active career, Christensen played for Danish clubs AB and Lyngby BK, as well as French club AS Saint-Etienne and FC Aarau from Switzerland. He debuted for the Danish national team in 1982, and he played a total of 11 national team matches and scored 2 goals. He was selected to represent Denmark at the 1986 World Cup, but did not play any matches.
After ending his active career, he became a football manager, and among other teams managed Slagelse B&I, Næstved BK, AB, and ÍF Fuglafjørður.