Savelyev, also spelled as Savelev or Saveljev (Russian: Савельев), or Savelyeva (feminine; Савельева), is a Russian surname. Notable people with the surname include:
Aleksei Nikolayevich Savelyev (b. 1990), Russian footballer with FC Amkar Perm
Aleksei Vitalyevich Savelyev (b. 1977), Russian footballer who played for FC Torpedo Moscow and PFC CSKA Moscow
Andrei Saveliyev (b. 1962), Russian politician and a former member of the Russian State Duma
Boris Savelev, (b. 1948), Russian photographer
Ilya Savelev (b. 1971), Russian volleyball player
Ludmila Savelyeva (b. 1942), Russian film actress and ballerina
Mishel Savelyev (b. 1987), Russian professional football player
Sergey Savelyev (1948-2005), Russian cross country skier
Vitaly Savelyev (b. 1954), Russian businessman
