Dr. Acors W. Thompson, 58, a physician who maintained offices in Falls Church and who had practiced in the Washington area for 25 years, died Wednesday at Anne Arundel General Hospital in Annapolis following a heart attack.

Dr. Thompson was born in Washington and graduated from old Central High School. He earned his bachelor's and medical degrees at the University of Virginia and did his internship at St. Louis Hospital in St. Louis.

In 1948, he entered the Army Medical Corps and was assigned to Walter Reed Army Hospital in Washington. He commanded a medical battalion in Korea during the conflict there and earned the Bronze Star Medal with Oak Leaf Cluster.

He opened a private practice in the Washington area in 1954, the year he left the service. He was a specialist in cardiology and internal medicine and was on the staffs of Georgetown University, Northern Virginia Doctors and Fairfax hospitals. He was a member of the courtesy staff of Arlington Hospital.

Dr. Thompson also was an assistant clinical professor of medicine at the Georgetown medical school.

He was a diplomate of the American Board of Internal Medicine and a fellow of the American College of Physicians, the American College of Cardiology and the American College of Sports Medicine. He was a member of the American Medical Association and other professional groups.

Survivors include his wife, Kathleen W., of the home in McLean; three daughters, Lynn D. Kahle, of Reston; Judit T. Tapsell, of Great Falls, and Deborah G. Thompson, of Alexandria, and three grandchildren.

The family suggests that expressions of sympathy be in the form of contributions to the Heart Association of Northern Virginia, 4231 Markham St., Annandale, or to the National Audubon Society.