They two sides, who've been fighting since 2014, began withdrawing from the village of Petrivske in the disputed Donbass region on Saturday.
The pullout could pave the way for a high-stake summit between Ukraine, Russia, France and Germany.
The Ukrainian Army announced a pullback from the town of Zolote, in the region of Luhansk, had begun on Tuesday night, whilst Russian-backed separatists said they were also complying.
As Halloween approaches, the centre of the Ukrainian capital city of Kyiv is once again being invaded by zombies.
Zelensky started the "marathon" press conference from 10:00 am local time and took the last questions shortly after midnight.
It is the first concrete sign of how Ukraine plans to handle investigations that are being closely watched in Washington amid possible impeachment of Donald Trump.
President Volodymyr Zelenskiy has announced local elections in separatist-held parts in the east of the country. But his plans are being criticised because the vote will take place before Kyiv takes full control of the borders and before Russian-backed forces have withdrawn from the occupied areas.
Ukrainian President Volodymyr Zelenskiy has agreed to provide special status for the Donbas and hold elections in the separatist-controlled eastern region, a breakthrough in talks to end the five-year conflict.
A peace plan of sorts, proposed by German President Frank-Walter Steinmeier back in 2016, what does it consist of and where do Russia and Ukraine stand on its implementation?
"Secret Departure of Ivan the Terrible Before the Oprichnina" by Mikhail N. Panin and depicting the famous 16th-century Russian czar went missing from the Dnipropetrovsk Art Museum in Ukraine during World War II.
The swap could set the stage for serious talks, even though major differences remain between the two countries
The Netherlands "deeply regrets" that Volodymyr Tsemakh, a suspect in the 2014 downing of Malaysian Airlines flight MH17, was released as part of a prisoner exchange between Russia and Ukraine, the Dutch government said on Saturday.
A prisoner swap that included Ukrainian sailors and high-profile prisoners is reportedly underway with Russia.
Dutch prosecutors investigating the downing of Flight MH17 over territory in eastern Ukraine held by pro-Russian separatists in 2014 have urged Kyiv not to allow Tsemakh to travel to Russia.
20,000 cheered as soldiers marched despite the decision of the new Ukraine President Volodymyr Zelensky to cancel the military parade.
Events have been taking place in Kyiv to mark Ukraine's Independence Day.
Israeli Prime Minister Benjamin Netanyahu on Sunday became the first foreign leader to visit Ukraine since the election of former actor Volodymyr Zelensky as President of the eastern European country.
Nine people were killed in a fire that broke out in a hotel in Ukraine, the state emergency services authority said.
Ukraine's president made it easier for "politically persecuted" Russians to get passports.
A Ukrainian town is so in love with its goats it holds an annual beauty contest for them.
It's a must-see sight, goats in bright dresses, embroidered shirts, skirts and floral crowns. One is even dressed up as a bride.
It's an event not to be missed.
Vodka made with grain and water from the Chernobyl exclusion zone has been described by one of its creators as “the most important bottle of spirit in the world.”
Russian President Vladimir Putin earlier this year promised fast-tracked citizenship to anyone living in Ukraine's Donetsk and Luhansk Oblasts.
Kyiv says it has detained a Russian tanker it alleges was involved in an incident in the Kerch Strait that saw three Ukrainian vessels seized.
Ukrainian parliamentary elections: What are the seven key takeaways?
Ukraine's Servant of the People party is set to secure a historic win by commanding the country's first overall majority in parliament.
The party of Ukrainian leader Volodymyr Zelenskiy has extended its lead over other groups, according to polls published three days before the parliamentary elections.