Emergency officials said at least 27 people, including nine schoolchildren, were hurt in the blasts.
Emergency Situations Ministry spokeswoman Yulia Yershova says the first blast occurred at a tramway stop in the center of Dnipropetrovsk, injuring 13 people.
The second injured 11 people near a school, among them nine children, while the third wounded three near a railway station.
A fourth blast was also heard in the city center, Yershova said. It was unclear whether anybody was injured.
Interior Minister Vitaly Zakharchenko announced he was flying to Dnipropetrovsk to investigate the blasts.
AP and Reuters contributed to this report
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