Rolling Stone critic Kit Rachlis said in his review of The Cars that "the songs bristle and -- in their harsher, more angular moments ('Bye Bye Love,' 'Don't Cha Stop') -- bray." On the Billboard review of The Cars, "Don't Cha Stop" was named one of the albums "[b]est cuts[.]"
Other appearances
After being released on the 1978 album The Cars, "Don't Cha Stop" saw release as the B-side to "My Best Friend's Girl" in U.S. and Japan. That single hit #35 in the America. However, in Europe, the song "Moving in Stereo" was used as the B-side instead.
"Don't Cha Stop" later appeared on the compilation album Just What I Needed: The Cars Anthology, as one of the six songs from The Cars to appear.