"We recorded about 15 violations [of the ceasefire agreement] with the use of small arms. These incidents occurred near the Donetsk airport and the village of Peski, but we expected even more [violations]," the spokesperson said.
Earlier on Thursday, the Donetsk city hall said in a statement that there were no hostilities in Donetsk on the New Year's Eve.
The conflicting parties reached a ceasefire agreement during a September 5 meeting of the Contact Group in the Belarus capital of Minsk, but have subsequently accused each other of breaking it.
On December 9, Ukrainian president Petro Poroshenko declared a so-called "silence regime" in Donbas to resume peace negotiations.