Glebov or Glebova (; feminine) is a Russian surname. Notable people with the surname include:
- Andrey Glebov (1770-1854), Imperial Russian colonel
- Aleksandr Glebov (born 1990), Russian professional footballer
- Ilja Glebov (born 1987), Estonian pair skater.
- Nikolai Glebov-Avilov (1887–1937), prominent Bolshevik
- Pyotr Glebov (1915–2000), Soviet actor
- Vladimir Glebov (born 1957), Russian military officer