Morris Dworkin, 73, a travel consultant with the Globe Travel Service here and a former appliance store owner, died of cancer Thursday at George Washington University Hospital.He lived in Silver Spring.

Mr. Dworkin was born in New York City. He came here with his parents as a teen-ager and graduated from Central High School. He had worked for several appliance companies and was a former manager of the old Sun Radio Co. In 1954, he purchased the J. C. Harding appliance store in Bethesda and operated it as the Oliver Television, Radio and Appliance Co. until 1961.

A Mason for more than 35 years, Mr. Dworkin was active in the Benjamin Franklin Lodge No. 50, which gave him its Distinguished Service Award. He also was a member of the Fridda Nabi Grotto and the Eastern Star. He was a past president of the Men's Club of the National Children's Center in Washington. He belonged to the Progress Club.

He is survived by his wife, Dorothy, of Silver Spring; three children, Rhoda Piatok of Manchester, Conn., Robert, of College Park, and Donald, of Rockville; three sisters, Dora Schlossberg and Ann Ratner, both of Silver Spring, and Minnie Bennett of Boca Raton, Fla., and five grandchildren.

The family suggests that expressions of sympathy be in the form of contributions to the National Children's Center Inc.