Chuck Berry made the song popular when he released it in 1958. Run Rudolph Run was written by Johnny Marks and Marvin Brodie, although there is some debate over this. The original record attributed the song to Church Berry Music, Inc. and Brodie. Only later was Marks name added.
Marks is also known for writing another classic Rudolph the Red-Nosed Reindeer.
Numerous other artists have covered the song including Kelly Clarkson, Luke Bryan, Billy Ray Cyrus, and Billy Idol.