A special election was also held on June 28, 1960, for a mid-term vacancy in North Dakota where Democrats flipped a seat to expand their majority to 66–34.

However, Republican Senator-elect Edwin Keith Thomson of Wyoming died December 9, 1960, and was replaced by appointee Democratic John J. Hickey at the beginning of the Congress, reducing Republican gains to one seat.

However, this was canceled out by a 1961 special election where Republican John Tower flipped Johnson's Senate seat.

One Republican senator-elect died December 9, 1960 before the next Congress began, and was replaced by a Democratic appointee.

He faced nominal opposition from Republican Julian E. Elgin in the then-deeply Democratic state of Alabama.

He would wind up winning re-election in 1966 before retiring in 1973, replaced by Democrat Floyd Haskell.

J. Allen Frear Jr. Democratic J. Caleb Boggs Republican J. Allen Frear ran for re-election to a third term, but he was defeated by Republican governor J. Caleb Boggs by a narrow 1% margin.

Republican Jack Miller won the open seat, defeating Democrat Herschel C. Loveless and riding the coattails of Richard Nixon's victory in the state.

Allen J. Ellender Democratic Allen J. Ellender Democratic Margaret Chase Smith Republican Margaret Chase Smith Republican Incumbent Republican Margaret Chase Smith, the first woman to serve in both houses of Congress, was overwhelmingly re-elected to a third term, defeating Lucia Cormier.

Norman Brunsdale Republican Quentin Burdick Democratic A special election was held June 28, 1960, to fill the seat vacated by William Langer, who died November 8, 1959.

Clarence Norman Brunsdale, a former Governor of North Dakota, was temporarily appointed to the seat on November 19 of that year until the special election was held.

North Dakota Democratic-NPL Party candidate Quentin N. Burdick faced Republican John E. Davis for election to the seat.

Though still publicly seeking re-election, he told his campaign chair, attorney Jack Beatty, "Remember, there's always another Neuberger," referring to his wife.

[8][9] Democratic Oregon Supreme Court judge Hall S. Lusk was appointed March 16, 1960, to continue the term, pending a special election in which he was not a candidate.

Johnson resigned January 3, 1961 — before the new Congress began — and former Democratic senator William A. Blakley was appointed to begin the term, pending a special election.

Republican John Tower, who lost to Johnson here in 1960, would win that May 1961 special election.