There was no immediate comment from the ministry of defence but officials in the area said nine police and 35 soldiers were killed in the attack.
Opposition fighters in the southern province of Daraa announced a ceasefire deal late on Friday with regime ally Russia.
Jordan, already hosting some 650,000 Syrian refugees, says its border will remain closed to more refugees.
The airport is disused but housed a major rebel base just inland from the coast road into the city from the south.
A Farah government official and several residents said security forces were engaged in police districts two and three, around 4 km from the city centre.
Rebels and jihadists on Tuesday launched a fresh assault on east Damascus, two days after Syrian government forces repelled an initial attack just a few kilometres from the centre of the capital.
Iraqi government forces besieged Islamic State militants around Mosul's Old City on Thursday, edging closer to the historic mosque from where the group's leader declared a caliphate nearly three years ago.
Syrian government forces clashed with Islamic State group fighters for a fourth day on Tuesday in an eastern city where a jihadist assault has left more than 100 dead, a monitor said.