Ghazni governor's office said 12 of the wounded are female students of Ghazni University which is located on the outskirts of the provincial capital.
The start of Afghanistan's election season was marred by deadly violence, just hours after President Ashraf Ghani insisted "peace is coming" to the war-torn nation.
President Ashraf Ghani has inaugurated the country's new parliament after almost six months since elections were held and following long delays, claims of voter fraud, unresolved disputes, and political bickering.
NATO says the soldiers were killed in an IED blast near the central city of Ghazni. Meanwhile, an international conference on Afghanistan is underway in the Swiss city to discuss how to end the 17-year war.
Afghan forces deployed to beat back Taliban fighters in Ghazni province, heavily populated by minority Hazaras, raising fears of sectarian violence. The escalation comes as Afghan government and Taliban meet for first direct peace talks in Moscow.
Afghan reinforcements were subsequently dispatched to the site of the attack in Khogyani district but were repeatedly ambushed along the way.
Every major stakeholder in Afghanistan is now open to talking to the Taliban. But who exactly is 'the Taliban'?
There is no claim of responsibility in the latest attack that follows a string of assaults, mostly carried out by the Taliban, across Afghanistan since Friday, killing hundreds of people, including civilians and security personnel.
The militants also captured dozens of soldiers in two days of fighting following an attack on an army base in Faryab province. Separately, fighting entered the fifth day in the northeastern city of Ghazni.
Afghan officials said US special forces units were on the ground helping to coordinate air strikes and ground operations as reports emerged that more than 300 killed on both sides, including over 100 government forces and 20 civilians.
Administrator of Ghazni city's hospital said at least 14 security forces were killed and 20 security personnel were wounded in the attack.
Officials suspect the Taliban were behind two separate attacks in Afghanistan that saw at least four policemen killed and six others wounded in eastern Ghazni province and a district chief killed in western Ghor province.
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