"Run, Run, Run" is a 1964 song written by Holland–Dozier–Holland and released as a single by Motown singing group The Supremes. After a couple of years of unsuccessful singles, the Supremes had finally broken through with a Top 40 single (23) in December 1963 with "When the Lovelight Starts Shining Through His Eyes". On the throes of its release, Motown rush-released a second HDH single titled "Run, Run, Run". Inspired by the sounds by Phil Spector, it was an attempt to give the Supremes a poppier sound to their earlier heavy R&B recordings.
The single proved to be unsuccessful, as it peaked at number 93 on the Billboard Hot 100 and number 22 on the Cash Box R&B chart. The Supremes would eventually escape the shadow of their so-called "no-hit" past with "Where Did Our Love Go".