Yevtushenko's father, Aleksandr Rudolfovich Gangnus, was a geologist, as was his mother, Zinaida Ermolaevna Yevtushenko, who later became a singer.
O pai de Evtushenko, Aleksander Rudolfovich Gangnus era xeólogo, como a súa nai, Zinaida Ermolaevna Evtushenko, quen máis tarde se converteu en cantante.