The title song peaked at #18 on the Billboard Hot 100, becoming Simon's twelfth Top 40 hit in the USA. Additionally, it was a top 10 hit in the UK. The album itself reached #25 in both the US and the UK. It was certified Silver by the BPI in September 1987, and Platinum by the RIAA in early 1988. It has since sold nearly two million copies in the US.
Shortly after the album's release, a live outdoor concert also entitled "Carly Simon - Coming Around Again" was recorded in June 1987 at Martha's Vineyard, Massachusetts and later released on video. On a pier in front of an invited audience, Simon and her band performed most of the songs from the album as well some of her older hits. The concert was also released as a live album in 1988 entitled Greatest Hits Live, and has also since been released on DVD as "Live From Martha's Vineyard".