Sigrid Kaag, of the Organisation for the Prohibition of Chemical Weapons, told reporters in Damascus that 92.5% of Syria's chemical materials had been removed from the country and destroyed.
She described it as "significant progress," though she said the government needs to ensure the remaining materials are eradicated by the end of the month.
"It's important that the last push is made toward full completion," Ms Kaag said.
Syria missed an April 13 deadline to destroy all its chemical weapons in accessible locations. International experts say that could have a serious impact on making a June 30 deadline for the removal of all its chemical weapons.
"An important (achievement) has been made in permanently closing down production facilities," Ms Kaag said, adding it came in "a very short period of time and under difficult and challenging security conditions".
However, experts have not had access to 12 chemical weapons production facilities yet, Ms Kaag said.
The international community aims to remove and destroy 1300 metric tons of chemicals Syria stockpiled to turn into poison gas and nerve agents.
The effort was sparked by a chemical weapons attack near Damascus on August 21 last year that killed hundreds of people. The attacks were blamed on Assad's government and brought the United States to the brink of military intervention in Syria. Damascus denied involvement.
Recently, activists have accused government forces of attacking rebel-held areas with poisonous chlorine gas, a charge the regime denies.