Kopp was elected to the Iowa House of Representatives in 1914, and served a single two-year term that ended in early 1917.
In 1920, Kopp was elected as a Republican to the first of six consecutive terms in the U.S. House, representing Iowa's 1st congressional district in the
Sixty-seventh and to the five succeeding Congresses. He served as chairman of the Committee on Expenditures in the Department of the Navy (in the Sixty-eighth Congress), Committee on Labor (in the Sixty-ninth through Seventy-first Congresses), and the Committee on Pensions (in the Seventy-first Congress).
In 1932, Kopp, like many other Republican candidates for Congress, was defeated in the Roosevelt landslide. Kopp was defeated by Washington, Iowa, attorney Edward C. Eicher. In all, Kopp served in the House from March 4, 1921, to March 3, 1933.
Kopp returned to practice law at Mount Pleasant, Iowa, until his death there on August 24, 1938. He was interred in Forest Home Cemetery.
* Alternately named Economic and Educational Opportunities in 104th Congress and Education and the Workforce in 105th through 109th and 112th through 115th Congresses.