The plaque marks where Marley lived with his band the Wailers in 1977 at 42 Oakley Street, in Chelsea.
It comes after a drive to uncover more addresses of ethnic minority figures.
Marley and the Wailers' famous Exodus album included hits such as Jamming, Three Little Birds and One Love.
The plaque had been stuck in the planning process because Marley was not registered in phone directories or electoral registers.
