The resolution will include a proposal to end fighting in Ukraine and create transportation corridors for humanitarian aid and emigration from conflict-affected areas.
"The draft resolution will demand violence be stopped immediately and talks started to cease fire," Russian Foreign Minister Sergei Lavrov said, adding he urged all stakeholders to abide by a plan produced by the Organization for Security and Cooperation in Europe.
Lavrov was critical of the portrayal of fighting in Ukraine as it is depicted in western media, noting the increasing humanitarian suffering in the country and the shortage of news reports on the topic.
Russia has emphasized the humanitarian issue in Ukraine, blaming the Ukrainian government, while Kiev has accused Moscow of inciting discontent in the eastern part of the country.
The Russian government also confirmed Monday its Gazprom energy corporation received a $786.4 million payment from Ukraine for purchases of gas, and a prepayment plan had been arranged for additional purchases of gas, beginning Jun. 9.