The first 12 points distributing food have already begun working. The minimum offering includes rice, buckwheat and sugar, three canned meats, a packet of tea and 10 liters of water, Novorossiya news agency reports.
Kindergartens, schools and other social facilities were the first to receive the aid.
The city said it was planning to open another 37 aid distribution points in the coming days.
The Russian aid convoy of 227 trucks arrived in the city on Friday, bringing almost 2,000 tons of relief supplies.