The early photograph of John and Yoko was taken at the opening of Australian John Crittle's tailoring shop, before the official announcement of their relationship.
Pictures of The Scaffold will be among other photos on show at Iconography.
Stephen Bailey of The Beatles Shop, which has jointly organised the exhibition, said: "There are some great shots and some unusual images."
Zygmant will also be at the Beatles convention in the Adelphi Hotel on Sunday.
The exhibition runs from Thursday to Wednesday, August 30.