Päts is an Estonian surname. Notable people with the surname include:
Johanna Päts (1890–1977), Estonian politician Konstantin Päts (1874–1956), Estonian statesman, president of Estonia from 1938 to 1940 Matti Päts (1933–2024), Estonian politician Riho Päts (1899–1977), Estonian composer Viktor Päts (1906–1952), Estonian politician and lawyer Voldemar Päts (1878–1958), Estonian artist and politician Voldemar Päts (1902–1942), Estonian cinematographer