Petro Poroshenko said yesterday the units would defend cities still under government control against possible incursions.
His remarks came after Ukrainian security officials claimed over the weekend that Russia has intensified the transfer of troops and military equipment to separatist rebels. Moscow denies it aids the rebels.
"Several new units have been formed that will enable us to repel possible attacks in the direction of Mariupol and Berdyansk, Kharkiv, and areas north of Luhansk and the Dnipropetrovsk region," Poroshenko said, according to a statement on the presidential website.
"In recent days, Russia-supported separatists have publicly stated their intention to expand the territory under their control. We strongly condemn ongoing separatist attacks in Meriupol and Dubalsiva and around the Donetsk Airport," US State Department spokeswoman Jen Psaki told reporters in Washington.
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"Any attempt to push further into Ukraine would be another violation of Ukraine's sovereignty and territorial integrity and a gross violation of the Minsk agreements signed by Russia, Ukraine, and the separatists," she added, referring to the much-violated case-fire agreed upon in September.
German Chancellor Angela Merkel, underlining her displeasure over what she said was Russia's role in the conflict, said Tuesday there is no reason yet to lift European Union sanctions against Moscow.
Merkel said she hopes for a diplomatic solution to Ukraine's crisis but added the vote shows "how difficult it is even to maintain agreements that have been made, if we look at the illegal elections."
He was inaugurated in a heavily guarded theater in the city of Donetsk, the main stronghold of a rebel-controlled territory that separatists call the Donetsk People's Republic.