Presidents, and Vice Presidents of the 1960'sThere were four Presidents, and Vice Presidents during the 1960's.The 34th President of the United States was Dwight D. Eisenhower from January 20, 1953 to January 20, 1961. His Vice President was Richard Nixon. The 35th President of the United States was John F. Kennedy from January 20, 1961 to November 22, 1963. His Vice President was Lyndon B. Johnson. The 36th President of the United States was Lyndon B. Johnson from November 22, 1963 to January 20, 1969. His Vice President was Hubert Humphrey (1965-1969).The 37th President of the United States was Richard Nixon from January 20, 1969 to August 9, 1974. His Vice President was Spiro Agnew (1969-1973)