Carl Halford Madden, 58, a former chief economist of the U.S. Chamber of Commerce and then a professor at American University, died Sunday in Pittsburgh, where he was visiting a son. He was stricken while jogging.

Dr. Madden was chief of economics at the U.S. chamber from 1963 until 1976. During those years he made frequent appearances before congressional committees to testify on a broad range of economic issues. He also spoke and wrote about economics in other forums. His articles occasionally appeared in The Washington Post.

Since leaving the U.S. chamber, Dr. Madden had been a professor of business and government at American University.

Before joining the U.S. Chamber of Commerece, he was a staff economist for the Senate Banking and Currency Committee. His service on Capitol Hill followed a year in which he was a consultant to the Treasury Department.

Dr. Madden was born in Baltimore and grew up in Danville, Va. He served in the Coast Guard during World War II. He earned bachelor's, master's and doctoral degrees at the University of Virginia.

His doctorate, which was in economics, was awareded in 1954. Dr. Madden spent the next six years at the Federal Reserve Bank in New York. He also taught at Rutgers and New York University. In 1960, he became dean of the School of Business Administration at Lehigh University in Bethlehem. Pa. He left Lehigh to begin his career in Washington.

Dr. Madden was the author of serveral books, including "The Money Side of the Street," a study of the short-term money market on Wall Street.

He was a past president of the National Association of Business Economists and a past chairman of the Conference of Business Economists. He also was a trustee of the Council on Economic Education, a member of the D.C. chapter of the Club of Rome, and a member of the advisory committee of the International Society of Technological Assessment.

He was a director of Robertshaw Controls Co., the Bank of Virginia-Potomac, the Lincoln Foundation, and the World Future Society.

Dr. Madden's survivors include his wife, Joan C., of the home in Alexandria; three sons, John Thomas, of Pittsburgh, James Morrisett, of Armonk, N.Y., and Martin Clarke, of Arlington; a daughter, Corey Beth, of the home; his mother, Mrs. Russell Grubbs, of Christiansburg, Va., and one grandson.

The family suggests that expressions of sympathy be in the form of contributions to the World Future Society, 4916 St. Elmo Ave., Bethesda.