August Moeller, 74, who founded a demolition company and operated it in the Washington area for more than 30 years, died at his winter home in Fort Lauderdale, Fla. Sunday following a heart attack.

Mr. Moeller was born in Neuthof, Germany, and came to the United States in 1925. He settled in the Washington area and worked for construction firms and an automobile dealership until 1935, when he founded Air Compressor Service, Inc. Among the projects on which it worked over the years was the Bethesda Naval Medical Center. It also carried out numerous other government contracts.

Mr. Moelier sold the business when he retired in 1967. He has since divided his time from his home in Cheverly, Md., and Fort Lauderdale, Fla.

He was a member of St. Ambrose Parish in Cheverly. He also was a member of the Washington Board of Trade.

Survivors include his wife, Lina, of the homes in Cheverly and Fort Lauderdale; two sons, Charles A., of Perfry Hall, Md., and William J., of Annapolis; two brothers, Karl, of Hyattsville, and Emil, of Fulda, West Germany; a sister, Sophie, of Neuthof, West Germany; eight grandchildren, and one great grandson.

The family suggests that expressions of sympathy be in the form of contributions to the American Heart Association.