According to Russian General Alexei Tsygankov, the hostile drones were shot down close to the Khmeimim Air Base in Western Syria.
He added that there had been no injuries or damage to the base.
The drones reportedly headed towards the Russian base from rebel controlled areas of Idlib province, the last major bastion of resistance to President Assad and his Russian allies.
Syrian troops have surrounded Idlib on three sides, and are expected to launch an assault in the coming months.
The attack is just the latest conducted by drones on the Khmeimim base.
On Saturday another drone, found to be carrying explosives, was downed outside the base.
Back in January 10 drones packed with explosives also attempted to attack the Khmeimim site.
Seven were shot down, whilst another three crashed and exploded before reaching their intended target.
Another three drones carrying explosives attempted to attack a Russian naval base in Tartus.
A Russian official said the January attack was carried out by “terrorists” with a “massed drone aircraft attack launched at a range of more than 50km using a modern GPS guidance system”.
There have also been reports of the terror group ISIS using drones to attack American special forces in Raqqa, formerly the capital of the so-called ‘Islamic State’ in northern Syria.
Russian forces established a presence at Khemimim air base, which sits adjacent to the Bassel Al-Assad international airport, in 2015 to support the Syrian regime.
The base reportedly holds Russian Sukhoi Su-24, Sukhoi Su-25s and Sukhoi Su-34s attack aircraft.
On 6 March a Russian transport plane crashed near the base killing all 39 onboard.
Russian authorities reported this was due to a mechanical failure, and not enemy action.