The statue of the Soviet dictator outside the local Communist party headquarters in Zaporozhe was destroyed about an hour before midnight, but no one was injured, RIA Novosti reported.
"Several minutes before the blast, a group of men was walking along the fence. One of them climbed over the fence and hung a bag that obviously had an explosive device inside it on the statue," a police report said.
Police are searching for the perpetrators.
Millions of Ukrainians died in a famine under Stalin's regime in the 1930s.