Robert Christian Klein Madsen (13 December 1882 in Odense, Denmark – 24 September 1954 in Copenhagen, Denmark) was a Danish gymnast who competed in the 1906 Intercalated Games and the 1908 Summer Olympics.

He won three Danish Championships in pole vaulting, in 1902, 1903 and 1907.

At the 1903 Championships he achieved an at-the-time Danish record of 3.13 meters.

At the 1906 Intercalated Games in Athens, he was a member of the Danish gymnastics team, which won the silver medal in the team, Swedish system event.

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