The resolution was adopted today by a vote of 107 to 12 with 59 abstentions.
The support was far lower than for the assembly's previous resolution last August denouncing Syria's crackdown on dissent.
That was approved by an overwhelming vote of 133-12 with 31 abstentions.
Russia, a close ally of Syria, urged a "no" vote and a group of Latin American countries led by Argentina demanded changes which weren't accepted to water down the resolution's support for the Syrian National Coalition, the main opposition group.