The announcement was made after air raids targeted the part of southern Ghouta under the control of the Faylaq al-Rahman rebel group, leaving at least 38 people dead, according to the Syrian Observatory for Human Rights.
The ceasefire move also came as the first evacuations of rebels and civilians took place in Eastern Ghouta under a Russian-brokered deal that is the first for the shrinking opposition enclave outside Damascus.
The evacuation deal further isolated the rebel groups that control the remaining two pockets of Ghouta and piles pressure on them to accept similar deals.
The regime of Syrian President Bashar al-Assad, backed by Moscow, last month launched an offensive which allowed it to take back more than 80 percent of Ghouta, the last bastion of the rebels in the area.
The regime's offensive on Ghouta has killed more than 1,500 civilians since February 18, the Observatory says.
A Faylaq al-Rahman spokesman in the southern rebel pocket of Ghouta announced that "agreement has been reached for a ceasefire, through the auspices of the United Nations".
The truce will permit "a final round of negotiations" between a local rebel delegation and Russia to find a solution "guaranteeing the safety of civilians and an end to their suffering and guaranteeing an end to this war and the bombardments," he added.
The Syrian Observatory blamed the 38 deaths on Thursday on Russian air strikes.
Election Results for Lok Sabha Election 2019 will be out on May 23. Get the latest election news and live updates on ndtv.com/elections. Catch all the action on NDTV Live. Like us on Facebook or follow us on Twitter and Instagram for news updates from each of the 543 parliamentary seats for the election 2019