"People's militia of the Lugansk People's Republic has begun a withdrawal of tanks from the line of contact in accordance with a Minsk deal," said the official news agency of the rebel region.
The warring sides had this week agreed to withdraw tanks as well as light weapons from a buffer zone between their forces beginning Saturday.
The deal will take more than 40 days to implement and see each sides' mortar shells and rockets with a calibre of less than 100 millimetres moved 15 kilometres (nine miles) away from the line of engagement.
On Friday, Ukrainian President Petro Poroshenko met the leaders of Russia, France and Germany in Paris in their latest push to end to a conflict that claimed more than 8,000 lives since April 2014.
"The withdrawal will begin from tomorrow," Poroshenko told reporters in Paris on Friday.
"All technical issues including coordination with the OSCE have been completed."
Over the past few weeks fighting has all but stopped in east Ukraine and peace appears closer than ever in a conflict that pitted Ukraine against Russia.
Russian President Vladimir Putin has over the past days shifted Western attention away from the Ukraine conflict by ramping up Moscow's military presence in its war-torn Soviet-ally Syria and launching air strikes against Islamic State militants.
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