He was born Michael Robert Green, in Matlock, Derbyshire. Green began his career playing with Johnny Kidd & The Pirates in the early 1960s, then joined Billy J. Kramer and the Dakotas in 1964. His ability to play lead and rhythm guitar simultaneously influenced a number of British guitarists to follow, including Pete Townshend and Wilko Johnson, the original guitarist for Dr. Feelgood. Green's song "Oyeh!" was on Dr. Feelgood's debut album, Down by the Jetty; and a song he co-wrote, "Going Back Home" appeared on Dr. Feelgood's 1975 Malpractice and the live album, Stupidity (1976).
Green reformed The Pirates in the mid 1970s (Kidd having died in 1966).
Green was also a member of the band Shanghai, which released two albums, in 1974 and 1976, and supported Status Quo on their Blue for You tour. Together with Quo member Alan Lancaster he wrote four songs recorded by Status Quo. 
In the 1980s and 1990s Green played with, amongst others, Bryan Ferry, Van Morrison and Paul McCartney, as well as playing with The Pirates with whom he continued to gig well into the 2000s. His other notable gigs included playing guitar for Van Morrison on the Pyramid Stage at the Glastonbury Festival in 2005, and Paul McCartney at his return to the Cavern Club in support of the latter's Run Devil Run album in 1999.
In 2008, Green performed regularly with the Van Morrison band, and played guitar on five of the tracks on Van Morrison's 2008 album, Keep It Simple.
In 1990, Green played guitar with Lemmy and the Upsetters on their 'Blue Suede Shoes' / 'Paradise' single. The A-side was originally recorded for a charity album, and Green wrote the b-side with Motorhead's Lemmy Kilmister for this occasional Upsetters project.Alan Burridge (talk) 08:33, March 10, 2010 (UTC)
Green died on January 11, 2010, a month before his 66th birthday. The cause of his death was heart failure.