Tamara Natanovna Press (born 10 May 1937) is a retired Soviet athlete who dominated the shot put and discus throw in the early 1960s.
She won three gold and one silver medals at the 1960 and 1964 Olympics and three European titles in 1958–1962.
Between 1959 and 1965 she set 11 world records: five in the shot put and six in the discus.
Domestically, she held 16 national titles, nine in the shot put (1958–66) and seven in the discus (1960–66).Her younger sister Irina Press was also a prominent track athlete, but mostly in the sprint events.