Thomas H. Reynolds, 77, a retired banker and former president of the board of trustees of Washington Hospital Center, died of cancer July 23 at Sibley Memorial Hospital. He lived in Washington.

Mr. Reynolds was a banker for over 45 years. He began his career in 1923 as a messenger with the old National Metropolitan Bank in Washington, and retired in 1971 as a vice president and trust officer of the American Security and Trust Co.

From 1958 to 1969, he was treasurer of Washington Hospital Center. He then served as president of its board of trustees until retiring and becoming a trustee emeritus of the center in 1971. He also had been a treasurer of the old Emergency Hospital.

Mr. Reynolds, a native of Round Hill, Va., graduated from the National University law school. He was a member of the Washington Golf and Country Club.

His first wife, the former Anne Allen, died in 1981. His survivors include his wife, Katharine C., of Washington; three children by his first marriage, Thomas H. Jr., of Towson, Millicent R. Miller of Bronxville, N.Y., and Alice O. Reynolds of Summit Point, W.Va.; a brother, Clinton R., of St. Petersburg, Fla., and three grandchildren.