"Run Rudolph Run" is a Christmas song popularized by Chuck Berry, written by Johnny Marks and Marvin Brodie (there is some debate about this) and published by St. Nicholas Music (ASCAP). The song was first recorded by Berry in 1958 and released as a single on Chess Records.
It has since been covered by numerous other artists, sometimes with the title "Run Run Rudolph". The song is a 12-bar blues, musically similar to Berry's very popular and recognizable song "Johnny B. Goode", and melodically identical to his song "Little Queenie", the latter of which was released shortly after, in 1959.
The song was written by Johnny Marks (the writer of "Rudolph the Red-Nosed Reindeer") and Marvin Brodie. Berry's 1958 45-rpm single, however, gives writing credits to "C. Berry Music – M. Brodie". All subsequent cover versions of the song are credited to Marks and Brodie, as published by Marks's St. Nicholas Music (ASCAP).