Shoigu, also spelled Shoygu (Russian: Шойгу), is a Tuvan given name and surname. Notable people with the surname include:
- Larisa Shoygu (1953–2021), Russian politician
- Sergei Shoygu (born 1955), Russian politician and military officer
- Yulia Shoygu (born 1977), Russian politician
All three individuals listed are descendants of Kuzhuget Shoigu (né Shoigu Kuzhuget), whose first name and surname were transposed on official forms due to a Soviet government-ordered name change.