Eight of the injured were children, the ministry said in a statement. The incident occurred in the Monceau park in a north-western district of the French capital.
The children, aged between seven and 14, had been attending a birthday party in the park at the time, Itele TV channel quoted local officials as saying.
Eric Moulin, a spokesman for the French fire-fighting service, said the situation would have been worse if an off-duty fire officer had not been at hand to quickly provide first aid. (Courtesy Reuters)