"Sweet Jane" is a song originally performed by the Velvet Underground on their 1970 album Loaded. The song was written by the band's leader, Lou Reed, who continued to incorporate the piece into live performances years later as a solo artist.

When Loaded was originally released in 1970, the song's bridge was edited out. The box set Peel Slowly and See and reissue Loaded: Fully Loaded Edition restored the missing section.

The song also appears on the albums Live at Max's Kansas City; 1969: The Velvet Underground Live; Peel Slowly and See; Live MCMXCIII; Loaded: Fully Loaded Edition; American Poet; Rock 'n' Roll Animal; Live: Take No Prisoners; Live in Italy; The Concert for the Rock and Roll Hall of Fame; Rock and Roll: an Introduction to The Velvet Underground; NYC Man (The Ultimate Collection 1967–2003); Live on Letterman: Music from The Late Show; and Berlin: Live At St. Ann's Warehouse.

There are two distinct versions of "Sweet Jane" with minor variations, spread over its first four releases. The first release of the song, in November 1970, was a version recorded earlier that year and included on Loaded. In May 1972, a live version (recorded August 1970) appeared on the Velvet Underground's Live at Max's Kansas City; this had an additional bridge that was missing from the Loaded release.

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