He worked regularly until the ethnic venues began dying out in the early 1960s, then made his Broadway theatre debut in the original 1964 production of the musical Fiddler on the Roof, joining the cast as Mordcha, the innkeeper, in 1965. The production ran through July 2, 1972. Finkel then played Lazar Wolf, the butcher, in the limited run 1981 Broadway revival, and eventually played the lead role of Tevye the milkman for years in the national touring company.