Sleptsov (feminine: Sleptsova) is a Russian-language surname derived from the nickname slepets, "blind man". The surname may refer to:
- Vasily Sleptsov (1836-1878), Russian writer
- Yuri Sleptsov , former mayor of Voskresensk, Moscow Oblast, Russia
- Platon Alekseevich Sleptsov, better known as Platon Oyunsky, Soviet Yakut statesman, writer and translator, seen as one of the founders of modern Yakut literature
- Svetlana Sleptsova, Russian biathlete