Konop was elected as a member of the Democratic Party to the Sixty-second, Sixty-third, and Sixty-fourthCongresses (March 4, 1911 – March 3, 1917). He represented Wisconsin's 9th congressional district.[3]
He served as chairman of the Committee on Expenditures on Public Buildings (Sixty-third and Sixty-fourth Congresses).
He was an unsuccessful candidate for reelection in 1916.
He resumed the practice of law in Madison, Wisconsin.
He served as a member of the Wisconsin State Industrial Commission from 1917 to 1922.
He served as a member of State board of vocational education from 1917 to 1922.
He moved to Milwaukee, Wisconsin, and continued the practice of law in 1922 and 1923.
Konop served as dean of the College of Law of the University of Notre Dame from 1923 to 1941, and dean emeritus and professor of law until his retirement in 1950. He continued to live in South Bend, Indiana, until 1962.
Konop died in San Pierre, Indiana, on October 17, 1964.
He was interred in Highland Cemetery, South Bend, Indiana.