Edwards was elected as a member of the Democratic Party to the 88th from the 10th Congressional District (later redistricted to the 16th Congressional District) and to the fifteen succeeding Congresses (January 3, 1963 – January 3, 1995). In his first year in the House, Edwards voted to abolish the House Un-American Activities Committee. Edwards was involved in the passage of the Civil Rights Act of 1964 and the Voting Rights Act of 1965. Edwards was a member of the House Judiciary Committee during the investigation of the Watergate scandal. Edwards opposed the U.S. military involvement in the Vietnam War, the invasion of Panama, and the Persian Gulf War.