He graduated from the University of Pittsburgh, in 1923 and from Georgetown Law School in Washington, District of Columbia, in 1942.
During the First World War, Simpson served as a private in the Three Hundred and First Company, Tank Corps. He was engaged in the insurance business from 1923 to 1937. He served in the Pennsylvania State House of Representatives from 1935 to 1937.
Simpson was elected as a Republican to the 75th United States Congress to fill the vacancy caused by the death of Benjamin K. Focht.
He was re-elected to the Seventy-sixth and to the ten succeeding Congresses and served until his death in 1960.