Grishayev or Grishaev () is a Russian masculine surname, its feminine counterpart is Grishayeva or Grishaeva. It may refer to

Boris Grishayev (1930–1999), Russian marathon runner Nadezhda Grishaeva (born 1989), Russian basketball player Nonna Grishayeva (born 1971), Russian actress, comedian, singer, and television presenter