"Crazy Love" is a romantic ballad written by Northern Irish singer-songwriter Van Morrison and included on his 1970 album, Moondance. The song was originally released as the B-side to "Come Running" in May 1970 before it was released as a single in the Netherlands, "Come Running" as the B-side. The cover of the single shows Morrison with his then-wife, Janet "Planet" Rigsbee. The photograph was taken by Elliot Landy, the official photographer of the 1969 Woodstock festival.

Moondance is the third studio album by Northern Irish singer-songwriter Van Morrison. It was released on 27 January 1970 by Warner Bros. Records. After the commercial failure of his first Warner Bros. album Astral Weeks (1968), Morrison moved to upstate New York with his wife and began writing songs for Moondance. There, he met the musicians that would record the album with him at New York City's A & R Studios in August and September 1969.