Clarence Herbert (Bill) Conger Jr., 72, a retired vice president of the Yale Laundry, the successor to a business which was founded by his father in 1902, died of cancer Saturday at the Washington Hospital Center. He was a resident of Bethesda.

Mr. Conger retired as vice president of Yale Laundry in 1976. His brother, Jay Porter Conger, was the company's president. The firm had been founded in 1902 by their father as Conger Laundry. It merged with Yale Laundry. It merged with Yale Laundry in 1939. The Conger family sold the business in 1976.

Clarence Conger Jr. was a native of Washington and a graduate of the old Western High School. He was a member of the Laundry and Dry Cleaning Association of Washington and the Optimists Club. He also had belonged to the Western Golf and the River Road country clubs.

He was a member of the Knights of Columbus.

In addition to his brother, of Bethesda, survivors include his wife of 50 years, Bronica Kulash Conger, of Bethesda; two sons, Clarence H. (Bert) III, of Kensington, and Michael J., of Upper Marlboro; two daughters, Bronica C. Chalfant, of Concord, N.C., and Leila C. Hayden, of Houston, and 10 grandchildren.

The family suggests that expressions of sympathy be in the form of contributions to the Washinton Cancer Society.