Two corpses lay covered by tarpaulin at the playing field close to the disputed airport in the war-torn city and witnesses said that at least four more people were wounded.
An elderly woman told AFP in tears that one of the victims was her 14-year-old grandson.
A statement from Donetsk city council said that both the victims were teenagers.
A spokeswoman for the firm that built the sports facility wrote on Facebook that those injured are aged 17 and 21, and one of them remains in a serious condition.
Fierce fighting between government forces and pro-Russian rebels has raged on for control of the gutted remains of the strategic airport despite a nominal ceasefire signed in early September.
Over 4,000 people -- most of them civilians -- have been killed in the conflict in east Ukraine since April, the United Nations says.
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