"The papers have been signed to begin withdrawing heavy weapons all along the frontline," General Olexander Rozmaznin said.
The pro-Russian rebels confirmed separately through their own news agency that they had also signed the agreement.
Rozmaznin told AFP that it was too early to say when the arms pullback would start. Some Ukrainian media suggested it could begin later today.
Under the terms of the truce, mediated by Germany and France and put into effect a week ago, the withdrawal of the weapons was meant to have started on Tuesday and be completed by March 3.
However in another sign that both sides in the conflict might now be willing to apply the truce, an overnight prisoner exchange took place in which 139 Ukrainian soldiers were traded for 52 rebel fighters.
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