The Russian and US top diplomats discussed the US missile attack in Syria.
Only terrorists will benefit from the US strikes on the Syrian airbase, Lavrov told Tillerson.
"Sergei Lavrov emphasized that an attack on a country whose government is fighting against terrorism is only playing into extremists' hands and creating additional threats for regional and global security," the statement by the Russian ministry read.
"It was noted that it is necessary to conduct a thorough and professional investigation into facts concerning all this situation [the Idlib chemical attack]."
Lavrov and Tillerson agreed to continue the discussion of the Syrian settlement during a personal meeting next week during US Secretary's of State visit to Moscow.
On Thursday night, the United States launched 59 Tomahawk cruise missiles at the Syrian military airfield in Ash Sha’irat, located about 40 kilometers (25 miles) from the city of Homs. US President Donald Trump said the attack was a response to the alleged chemical weapon use in Syria's Idlib on Tuesday, which Washington blames on the Syrian government.
On April 4, Syrian opposition claimed Tuesday forces loyal to President Bashar Assad had used a chemical gas on people in the northwestern province, killing nearly 80 and injuring 200. Assad argued his government has no chemical weapons after agreeing to have them destroyed in 2013. He also ruled out having used chemicals against own people.
Earlier on Saturday, the Russian Defense Ministry said that the Pentagon and the US State Department have failed to prove the existence of chemical weapons at the Syrian airfield struck by US cruise missiles.