He was the US delegate to the United Nations General Assembly and was elected to Congress from The Bronx, serving in the House of Representatives from 1965 to 1983.

His practice was interrupted in August 1941, when he joined the Machinery Branch of the newly created Office of Price Administration (OPA) as a legal advisor.

In April of the following year he was enlisted as a private in the United States Army and was discharged a captain in October 1945 with a War Department citation.

[2] On his return he was appointed chief of the newly created Alien Enemy Control Section of the State Department.

When Harriman was defeated in the 1958 election by Nelson Aldrich Rockefeller, Bingham joined the law firm Goldwater & Flynn.

[citation needed] Bingham represented the 23rd District from January 3, 1965 until January 3, 1973, when, as a result of redistricting following the 1970 census, he was elected to the House from the 22nd District of New York following a bruising primary with neighboring Democratic incumbent congressman James H. Scheuer.

The House Subcommittee he chaired formulated and pressed for enactment of the first comprehensive anti-proliferation legislation in U.S. history, the Nuclear Non-Proliferation Act of 1978.

Bingham supported U.S. aid to Israel, particularly for the settlement of Soviet Jewish refugees, and to Romania after the March 1977 Vrancea earthquake, sponsoring a bill to provide $20 million in assistance to the country.