At least five buses carrying fighters and their families arrived in the rebel-held city of Idlib in the northwest, the Syrian Observatory for Human Rights said.
The arrivals were the first since the evacuation of the town just outside Damascus began yesterday under an agreement between the government and the rebels.
Daraya had been ravaged by constant bombardment by the army and the long years of siege that saw just a single food aid convoy reach the town since late 2012.
Some 300 fighters and their families were evacuated during the first part of the operation on Friday, according to a military source, with the departures expected to continue today.
Some other civilians were also evacuated but no figures were immediately available.
Daraya, just 15 minutes from Damascus, was one of the first towns in Syria to rise up against President Bashar al-Assad's government and became a symbol of the uprising.
It was surrounded by loyalist forces in late 2012.
In recent months, government forces have made a number of advances outside the capital.
Long sieges have prompted the rebels to abandon several areas, prompting activists to accuse Damascus of using "starve or surrender" tactics.
Rebel fighters pulled out of Syria's third city Homs last year under a similar evacuation deal.
More than 290,000 people have been killed and over half the population displaced since the conflict erupted in 2011.
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