Construction began in 1914. In 1943, the church was named for Moses Green, who was born a slave and worked for 50 years at Union Station in Portland and served as a tireless volunteer for the parish. A vernacular interpretation of an English Gothic Church, it is constructed of concrete block with a rough surface with quoining of stone-like blocks. The structure is listed on the National Register of Historic Places. The fa ade is distinguished by identical street-facing walls of arched windows and doorways.
Decoration features a large circular rose window flanked by miniature turrets.
The circular tower rises two stories and is capped by an open belfry. The building is on the National Register of Historic Places.