"The Ukrainian side will present the key elements of a possible mission to sustain peace and thus officially inform the UN of our intention and our request to start working on the formation of such mission," Alexei Makeyev said on the Ukrainian 112 TV channel.
According to the ministry, Klimkin will also speak at the Monday UN Security Council debates on the maintenance of international peace and security.
Russia's envoy to the United Nations Vitaly Churkin said Kiev's request would cast doubt on the Ukrainian government's intention to adhere to the agreements, reached in Minsk earlier in February. The deal, brokered by Russia, France and Germany, has no mention of peacekeepers.
On Friday, Ban told Klimkin that sending peacekeepers to Ukraine would be up to the UN Security Council.