William H. Gibson, 70, a founder and president of Premium Distributors of Virginia, Inc. in Alexandria, which markets Miller High Life beer and other products of the Miller Brewing Co., died of cancer March 29 at his home in McLean.

Mr. Gibson was born in Harrisburg, Ill. He moved to Washington in 1946 and founded Premium Distributors with his brother, John, who died in 1978.

Mr. Gibson received the Miller Masters Award for Excellence in 1981 and 1984. He received a special trophy last year from the Sales and Marketing Executives of Metropolitan Washington.

He was a member of the Virginia Beer Wholesalers Association, the Retail Liquor Dealers of Washington, and the Lions and Kiwanis clubs. He also had been active with the Heroes Club and the National Jewish Hospital Foundation.

His first wife, Barbara M. Gibson, died in 1972.

Survivors include his wife, Annetta E., of McLean; three daughters from his first marriage, Sharon Mann of Arnold, Md., Marlene Otto of Bethesda, and Barbara Willson of Springfield; four stepchildren, Willard Hyde of Springfield, Richard Hyde of Gaithersburg, Geoffrey Hyde of Los Angeles, and Leslie Grubl of Orlando, Fla.; four sisters, Sally Allgood, Mary Krushensky and Helen McClintic, all of Ferndale, Mich., and Dorothy Godfrey, of Talequah, Okla.; two brothers, Joseph, of Pontiac, Mich., and David, of Ferndale, and 17 grandchildren.