The ceasefire allowed the street out of town to be cleared of mines and humanitarian support to be delivered.
Ceasefire measures will stay in place till the top of Sunday 1 November.
Residents had a four-hour window to go away earlier than a convoy of 25 buses, with area for 750 individuals, left the city on Friday afternoon – together with ambulances for individuals with restricted mobility.
A number of hundred individuals are understood to have determined to remain within the war-torn metropolis, regardless of widespread devastation and the dearth of gasoline, electrical energy and operating water.
Among the older technology didn’t wish to depart, one relative advised the BBC.
Lubinets mentioned on Friday morning that those that determined to remain “will obtain all the mandatory humanitarian help”.
He and his Russian counterpart Yana Lantratova travelled to Oleshky collectively on Friday, setting off from Armiansk, within the Russian-occupied Crimean peninsula.
Lubinets is the primary Ukrainian official for the reason that begin of the conflict to go to Russian-occupied components of Ukraine.
Zelensky praised him and his staff for serving to transfer evacuees out to security.
The Ukrainian president additionally thanked those that had helped carry consideration to the “true humanitarian disaster in Ukrainian territory briefly occupied by Russia”.
The ceasefire has required shut cooperation between Lubinets and Lantratova, which Lubinets mentioned he carried out within the pursuits of saving lives.
However some in Ukraine have recoiled on the sight of him standing beside a consultant of the Russian occupying energy which has killed so lots of the metropolis’s residents and made life insufferable for the remainder.
Russia mentioned on Thursday that it had ready “dozens of tonnes” of support for the residents who don’t want to depart, together with meals, drugs, hygiene merchandise and gasoline for mills.
Further reporting by George Wright