Garay, de Garay or Garai is a Basque or a Hungarian surname. Notable people with the name include:

• Antonio Garay (born 1979), American NFL football player
• Blasco de Garay (1500–1552), Spanish navy captain and inventor
• Carlos Garay (born 1972), American football player
• Cecilia Suárez de Garay (born 1971), Mexican actress
• Ezequiel Garay (born 1986), Argentine football player
• Fernanda Garay (born 1986), Brazilian volleyball player
• Francisco de Garay (died 1523), Spanish conquistador, governor of Jamaica and explorer
• Hugo Garay (born 1980), Argentine light heavyweight boxer
• János Garay (1812–1853), Hungarian writer and poet
• János Garay (fencer) (1889-1945), Hungarian saber fencer
• Jesús Garay (1930–1995), Spanish football defender
• Jesús Garay (director) (born 1949), Spanish film director and screenwriter
• Joaquin Garay (1911-1990), Mexican actor
• Joaquin Garay III (born 1968), American actor
• José Marcos Garay (born 1977), Mexican football player
• Juan Carlos Garay (born 1968), Ecuadorian football player
• Juan de Garay (1528–1583), Spanish conquistador
• Kenneth Garay, American sports journalist
• Leslie Andrew Garay (born 1924), American botanist
• Máximo Garay (1898–1960), Hungarian naturalized Chilean football manager
• Melker Garay (born 1966), Swedish author
• Nicole Garay (1873–1928), Panamanian poet
• Ramón Garay (1896–1956), Spanish film actor
• Ridl Garay (born 1997), Mexican volleyball player
• Sebastián Garay (born 1983), Argentine singer, musician and composer of Argentine
• Sindo Garay (1867–1968), Cuban singer and composer
• Soo Garay, Canadian actress
• Tibor Garay (born 1923), Hungarian football player
• Val Garay (born 1942), American record producer
• Garay Asadov (1923–1944), Azerbaijani Red Army sergeant
• Pedro Raul (born 1996), Brazilian footballer