Addressing the UN Security Council on Friday, Bashar al-Jaafari slammed the al-Qaeda-linked group for attacking hospitals and schools, desecrating holy places, assassinating religious figures, and abducting UN personnel.
Jafaari also strongly denounced a number of UN members for supporting armed groups in Syria.
Diplomats have said the UN Security Council will add the al-Qaeda-linked al-Nusra Front to its sanctions blacklist next week.
As a result, the group will be subject to a global asset freeze from Tuesday onwards.
This comes as the Syrian government asked the Security Council to blacklist al-Nusra last month, but the request was blocked by Britain and France.
Al-Nusra, which has been already designated as a terrorist organization in the US, has gained notoriety for bombings across Syria.
Al-Nusra's chief Abu Mohammed al-Jawlani also has pledged his group’s allegiance to Al-Qaeda chief Ayman al-Zawahiri.
The Syria crisis began in March 2011, and many people, including large numbers of soldiers and security personnel, have been killed in the violence.
The Syrian government says that the chaos is being orchestrated from outside the country, and there are reports that a very large number of the militants are foreign nationals.