The song was recorded on April 30, 1965 at United Western Recorders. Chuck Britz was the engineer. It is one of the first songs to feature Carl Wilson as the lead vocalist (his first unshared lead was on "Pom Pom Play Girl"), and is one of the few Beach Boys songs from the era to feature no backing vocals. It is also the first recording session that Bruce Johnston participated in as a member of The Beach Boys. The track has been compared to the structure of the Beatles' "Ticket to Ride" for its guitar breaks and drum rolls. It's been claimed that Brian intended to submit "Girl Don't Tell Me" to the Beatles.
Fuzzy, a Boston Indie rock band, recorded "Girl Don't Tell Me" as part of their "Electric Juices" album for TAG/Atlantic, released in March 1996.
Indie-rock band The Shins covered the song and was part of their setlist for their 2009 tour.
Brooklyn Alt-country band My Cousin, The Emperor released a cover version in July 2011 as part off their "Don't Steal The Covers!" project
Brooklyn lo-fi all-girl group Vivian Girls also covered the song on various releases including their "Surf's Up" 7".
A version of this song with French words was recorded by Souvenir, under the title "Ne dis pas".
Christian music pioneer Keith Green recorded a version of the song in 1965 with the b-side How to be your guy, this was one of Keith's first releases in his career. As well as being one of his few Decca Records releases.