The Secretary General said it is "imperative to have a peace conference in Geneva as soon as possible."
The latest numbers for the 2.5 year conflict are up more than 7,000 from just a month ago. The U.N. believe its statistics underestimate deaths due to underreporting. A further 1.7 million Syrians are estimated to have fled to neighboring countries.
"There is no military solution to Syria," said U.S. Secretary of State John Kerry. "There is only a political solution."
Kerry said he talked to Russian Foreign Minister Sergey Lavrov on Wednesday, and both countries will continue efforts to convene an international conference in Geneva to agree on a transitional government agreed to in Geneva last year.
"We will try our hardest to make that happen as soon as is possible,'' Kerry said.
Also on Thursday, Syria's state-run news agency reported a car bomb exploded in a suburb of the capital, Damascus, with 10 people killed and dozens injured. The explosion reportedly caused heavy damage to nearby buildings, in a neighborhood supporting the government of President Bashar Assad.
The conflict began with protests against decades of Assad family rule, which turned violent after government security crackdowns.