For 2 years who served as the only US President and vice president who were not elected by the people?

Gerald Ford and Nelson Rockefeller served for 25 months as the only US President and Vice President who were never elected to either position. Ford became the 38th President on August 9, 1974, and Rockefeller became the 41st Vice President on December 19, 1974.

--- Both Ford (House minority leader from Michigan) and Rockefeller (longtime governor of New York) became Vice President under the 25th Amendment. Ford became Vice president after the resignation of Spiro T. Agnew, and became President after the resignation of Richard Nixon. Rockefeller was then chosen as Ford's Vice President.