"Run Baby Run"
Released: 1993 (Australia/France/Europe/UK), 1994 (Germany/Europe), July 18, 1994, April 17, 1995 (UK)
"What I Can Do for You"
Released: November 11, 1993
"All I Wanna Do"
Released: April 4, 1994 (US), April 4, 1994 (UK)
"Leaving Las Vegas"
Released: June 18, 1994
"Strong Enough"
Released: November 15, 1994 (US), February 11, 1995 (UK)
"Can't Cry Anymore"
Released: May 27, 1995 (UK), June 13, 1995 (US)

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Tuesday Night Music Club is the debut solo album from American singer/songwriter Sheryl Crow, released on August 3, 1993. The lead single "Run Baby Run" was not particularly successful. However, the album gained attention after the success of the third single, "All I Wanna Do," based on the Wyn Cooper poem "Fun" and co-written by David Baerwald, Bill Bottrell, Sheryl Crow, and Kevin Gilbert. The single eventually reached number two on the Billboard Hot 100, propelling the album to number three on the US Billboard 200 album charts. It has sold more than 5.3 million copies in the US as of January 2008. On the UK Album Chart, Tuesday Night Music Club reached #8 and is certified 2× platinum.

It is listed as one of 1001 Albums You Must Hear Before You Die.

The title of the album comes from the name for the ad hoc group of musicians including Crow, the "Tuesday Music Club", who came together on Tuesdays to work on the album. Many of them share songwriting credits with Crow.

The front cover of the album shows Crow wearing a denim shirt with "a sheepish smile". The back cover has a neon cafe sign of the "Jenny Rose Cafe", consisting of the heart-shaped neon light behind the sign "CAFE" and above the other sign "JENNY ROSE".

The group existed as a casual songwriting collective prior to its association with Crow, but rapidly developed into a vehicle for her debut album after her arrival (she was at the time dating Kevin Gilbert, who actually co-wrote most of the songs for this album along with Crow, Baerwald, Ricketts, Bottrell, Schwartz and MacLeod). Her relationship with Gilbert became acrimonious soon after the album release and there were disputes about songwriting credits. In interviews later, Crow claimed to have written them. Both Gilbert and Baerwald castigated Crow publicly in the fallout, although Baerwald later softened his position. A similar tension arose with TNMC member Bill Bottrell after her second album, on which he collaborated during the early stages.

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