Alfred L. Jaeger, 56, a construction foreman and inspector for the architect of the Capitol, died Friday at George Washington University after a heart attack.

He had inspected the restoration of the inside of the Capitol Dome several years ago, and had helped supervise work on the Supreme Court Building.

Mr. Jaeger came to Washington in 1959. He worked as office manager of Nathan C. Hale Associates, a Northern Virginia firm of consulting engineers, for 10 years. After that, he was an assistant office manager for a real estate development firm in Northern Virginia for two years before joining the Architect's office.

He belonged to Veterans of Foreign Wars Post No. 9619 in Morningside, Md., and the Santa Maria Council of the Knights of Columbus in Vienna.

He was a member of Our Lady of Good Counsel Catholic Church in Vienna.

Mr. Jaeger was a native of Bayonne, N.J. He served with the Navy aboard battleships in the Pacific during World War II.

He is survived by his wife, June M., a son, Paul, and three daughters Susan, Catherine, and Ellen, all of the home in Falls Church; two other daughters, Diane Jaeger-Pittman, of Denver, and Jody Willis, of Memphis; his mother, Lily C. Jaeger, of Falls Church; three sisters, Grace ViFrisco, of Medinah, Ill, and Jean Mendez and Miriam Craigue, both of Falls Church and a brother, Harry of Covington, Ky. CAPTION: Picture 1, ALFRED L. JAEGER