During his active career, he was a forward for Danish clubs Køge, Herfølge, Frem and Brøndby. In 1984, Rasmussen moved to the United States and signed with the Wichita Wings of the Major Indoor Soccer League. He played five seasons for the Wings.
During his professional career, he was a forward for Danish clubs Køge, Herfølge, Frem, and Brøndby. In 1984, Rasmussen moved to the United States and signed with the Wichita Wings of the Major Indoor Soccer League. He played multiple seasons in the league.