The US, France and the United Kingdom carried out the strikes after blaming the Assad regime for a chemical attack in Douma that killed more than 30 people.
"It was the first time we attacked live Iranian targets - both facilities and people", the senior military source told Friedman.
Russian President Vladimir Putin warned on Sunday that further Western attacks on Syria would bring chaos to world affairs, while signs emerged that Moscow and Washington wanted to pull back from the worst crisis in their relations for years.
"This morning's attack on Syria is a crime".
Putin added Russian Federation would convene an emergency session of the United Nations Security Council in response.
Four military bases in Syria were bombed on Saturday night, killing Iranian soldiers in a follow up strike on the heels of the earlier allied attack.
"After examining the videos and images of victims published online, they (intelligence services) were able to conclude with a high degree of confidence that the vast majority are recent and not fabricated", the report said.
The paper added that Russian Federation, after the tripartite aggression, would provide Syria with more sophisticated air defense systems, considering that this would threaten the Zionist warplanes flying over Lebanon. Tensions had heighted between the bitter enemies following an airstrike Monday on a Syrian air base that its allies blamed on Israel.
"An act of aggression against a sovereign state that is on the frontline in the fight against terrorism was committed without a mandate from the UN Security Council and in violation of the UN Charter and norms and principles of global law", Putin said. She said with the deadline approaching on May 12, to fix or nix the nuclear deal with Iran, "we have an opportunity right here to cut one of the Assad regime's essential life lines".
He said the strikes were a direct response to the attack on Douma.