Anne Murray's Greatest Hits is a compilation album by Canadian Country vocalist Anne Murray, issued by Capitol Records in 1980. It is a collection of nine previously issued singles released between 1970 and 1980, as well as one new track, "Could I Have This Dance", which was newly recorded for this album (and simultaneously appeared on the soundtrack to the film Urban Cowboy).
Though Murray's fourth compilation album, Greatest Hits was the first collection of her biggest charting singles, from her breakthrough Top 10 smash, "Snowbird", through 1980. (Previous compilations had included some of Murray's chart hits along with album tracks and lesser known songs.) It peaked at #16 on the Billboard album chart, hit #2 (where it held for nine weeks) on the Top Country Albums chart, and is certified 4× Multi-Platinum by the RIAA in the United States – Anne's biggest selling career disc.