The official SANA news agency said a total of four shells struck the capital’s neighborhood of Shaghour in the morning hours.
State TV said 14 people were killed and 86 were wounded.
An official at the Damascus Police Command told The Associated Press that two of the mortar shells landed near a school.
Several students who were attending classes at the school were among those killed and wounded in the attack, said the official, speaking on condition of anonymity.
No one immediately claimed responsibility for the attack but Syria’s foreign-backed rebels have frequently fired mortars into the capital, killing many people.
Foreign-backed rebel in Syria have launched a deadly attack on an area in central Damascus, killing at least 14 civilians and wounding scores more.
The attacks in the Syrian capital come as the country is preparing to hold a presidential election on June 3 that is hoped to settle the foreign-charged war that has already killed thousands of people.
Syria sank into war in 2011 when pro-reform protests turned into a massive insurgency following the intervention of Western and regional states.
The unrest, which took in terrorist groups from across Europe, the Middle East and North Africa, has transpired as one of the bloodiest conflicts in recent history.