Morkūnas is a surname. Notable people with the surname include:
Donatas Morkūnas (born 1957), Lithuanian politician Kazys Morkūnas (c. 1925–2014), Lithuanian stained glass artist Povilas Morkūnas (1920–1953), anti-Soviet Lithuanian partisan Pranas Morkūnas (1900–1941),Lithuanian translator and poet Simon Morkunas (1902–1997), Lithuanian Catholic priest