Bácskai or Bácskay is a Hungarian habitational surname originally used for a person stemming from the historical region of Bačka (), which today is divided between Serbia and Hungary. It may refer to: Bácskai/Bacskai Béla Bácskai (1912–1994), Hungarian field hockey player (born 1946), Hungarian sport parachutist and parachute instructor Imre Bacskai (born 1988), Hungarian boxer (1908–1996), Hungarian esperantist, editor and lawyer (1933–2020), Hungarian film director János Bácskai (born 1962), Hungarian politician (born 1954), Hungarian actor Mária Bácskai (born 1938), Hungarian sprinter Sára Bácskai (born 1999), Hungarian short track speed skater Zsolt Bácskai (born 1975), Hungarian long-distance runner
Bácskay/Bacskay (1861–1938), Hungarian soprano singer (1943–2006), Hungarian footballer