Staebler had German ancestry. He was born in Ann Arbor, Michigan and graduated from Ann Arbor High School in 1922. He received a B.A. from the University of Michigan at Ann Arbor in 1926. He served on the staff of the Office of Price Administration, 1942–1943, and in the United States Navy, 1943-1945. He was chairman, of the Michigan state Democratic central committee, 1950–1961 and a member of the Democratic National Committee, 1961–1964 and 1965-1968. He was a visiting professor at the University of Massachusetts in 1962. He was a delegate to the Democratic National Convention from Michigan in 1952, 1956, 1960, 1964, and 1968.
Following the 1960 census, Michigan gained one additional seat in Congress due to reapportionment. Despite this change, the state legislature did not create the new 19th district in time for the 1962 elections, so Staebler was elected as an at-large candidate from the Democratic Party to represent Michigan in the 88th Congress, serving from January 3, 1963 to January 3, 1965. He did not pursue reelection in 1964, but instead unsuccessfully challenged incumbent Republican Governor of Michigan George W. Romney.
- United States Congress. "Neil Staebler (id: S000775)". Biographical Directory of the United States Congress.
- The Political Graveyard
- U.S. Representatives 1837-2003, Michigan Manual 2003-2004
|U.S. House of Representatives|
| United States Representative at large from Michigan
1963 – 1965