Rovsing is a Danish surname. Notable people with the surname include:
Christian Rovsing (1936–2025), Danish politician Leif Rovsing (1887–1977), Danish tennis player Marie Rovsing (1814–1888), Danish women's rights activist Niels Thorkild Rovsing (1862–1927), Danish surgeon
See also Poul Rovsing Olsen (1922–1982), Danish composer and ethnomusicologist Rovsing's sign, a sign of appendicitis, named after Niels Thorkild Rovsing