Baev, Bayev or Bajev (Cyryllic: Баев) is a Slavic masculine surname, its feminine counterpart is Baeva, Bayeva or Bajeva. The surname may refer to the following notable people: Alena Baeva (born 1985), Russian violinist Aleksei Bayev (born 1993), Russian football player Bayu Baev (born 1941), Bulgarian wrestler David Baev (born 1997), Russian freestyle wrestler Denis Bayev (born 1983), Ukrainian hockey player Irina Baeva (born 1992), Russian television actress Kaloyan Baev (born 1972), Bulgarian wrestler Khassan Baiev (born 1963), Russian Chechen doctor and author Mariela Baeva (born 1964), Bulgarian writer, researcher and philologist Nako Baev (born 2003), Bulgarian visual artist Nikolaj Bajev (born 1974), Russian LGBT activist and journalist Nikolai Bayev (1875–1952), Armenian architect Pavel Baev (born 1957), Russian-Norwegian political scientist Theodoros Baev (born 1977), Bulgarian-born Greek volleyball player Vera Baeva (1930–2017), Bulgarian writer and composer
See also Baeva livada, village in Bulgaria