Flemming Rasmussen (born 1 January 1958) is a Danish sound engineer, record producer, and owner and founder of Sweet Silence Studios in Copenhagen.
Rasmussen began his career as an assistant at the Rosenberg Studios facility run by producer/engineer Freddy Hansson.
In 1980, Rasmussen became co-owner of the studio, and one year later became an engineer, recording the 1981 album Difficult to Cure by Rainbow.
This subsequently attracted Metallica, who brought in Rasmussen to work on their album Ride the Lightning (1984).
In 1994, the Danish Grammys recognized him as producer of the year for his work on Sort Sol's Glamourpuss.