Savelyev, also spelled as Savelev, Saveliev, or Saveljev (Russian: Савельев), or Savelyeva (feminine; Савельева), is a Russian surname that is derived from the male given name Savely and literally means Savely's. Notable people with the surname include:

• Aleksei Vitalyevich Savelyev (born 1977), Russian footballer who played for FC Torpedo Moscow and PFC CSKA Moscow
• Andrei Saveliyev (born 1962), Russian politician and a former member of the Russian State Duma
• Boris Savelev, (born 1948), Russian photographer
• Dmitry Savelyev (disambiguation), several people
• Gennadi Saveliev, American Ballet Theatre soloist
• Ilya Savelev (born 1971), Russian volleyball player
• Larissa Saveliev (born 1969), Russian ballet dancer
• Ludmila Savelyeva (born 1942), Russian film actress and ballerina
• Oleg Savelyev
• Sergey Savelyev (skier) (1948–2005), Russian cross country skier
• Sergey Savelyev (speed skater) (born 1972), Russian speed skater
• Sergey Vyacheslavovich Savelyev (born 1959), Russian scientist, evolutionist, paleoneurologist, author of the idea of cerebral sorting
• Viktor Savelyev (1928–2013), Russian surgeon
• Viktor Zakharevich Savelyev (1875–1943), Russian military officer
• Vitaly Savelyev (born 1954), Russian businessman

This page lists people with the surname Savelyev.
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