The US push to establish the new panel comes three months after Russia killed off a previous UN-led investigation by vetoing the renewal of its mandate, arguing that the probe was flawed.
A draft resolution presented to the council on Wednesday would establish the United Nations Independent Mechanism of Investigation (UNIMI) for a period of one year "to identify perpetrators of chemical weapons attacks in" Syria.
In January, Russia presented its own draft resolution setting up a new panel, but Western powers expressed reservations, saying Moscow's proposal would give the Syrian government an upper hand over any investigation of attacks on its territory.
It was unclear when the US or Russian draft resolutions on the Syrian chemical inquiry would come to a vote.
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The Syrian government has denied using chemical weapons and Russia, its ally in the war, has questioned UN findings that it carried out sarin and chlorine attacks.
A doctor who treated the patients following an air strike Sunday on the village of Al-Shifuniyah in Eastern Ghouta said he believed it was "probably a chlorine gas attack."
Russia and the United States agreed in 2015 to set up the Joint Investigative Mechanism (JIM) to identify those behind chemical weapons attacks in Syria.
The Organisation for the Prohibition of Chemical Weapons (OPCW) has identified dozens of incidents of chemical weapons use in Syria, but its mandate does not allow it to determine who carried out the attack.
The panel also found that President Bashar al-Assad's forces used chlorine in at least three attacks on rebel-held villages in 2014 and 2015, and Islamic State group (IS) jihadists had used mustard gas in 2015.
The Observatory reported 21 cases of suffocation in Eastern Ghouta on 22 January. Residents and medical sources said they suspected a chlorine attack.
A similar attack targeted the outskirts of Douma on January 13.
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