The wounded were all in stable condition at the Bagram Airfield military hospital.
The clashes started late Thursday after Taliban attacked security posts in separate locations by vehicle bombs and motorcycle bombs, but security forces fought back the attackers, killing over 40 attackers as of Friday afternoon, the provincial government said in a statement.
The U.S. military in Afghanistan says that four American troops were wounded in the same suicide bombing near the city of Kandahar the previous day that killed two U.S. service members. The Taliban also claimed responsibility for that attack.
Confirming the recapture of Jani Khel, a provincial council member, Allah Mir Khan Bahramzoi, said, "We have received reports of 15 civilian wounded and around 250 families displaced".
The incident occurred in Qarabagh district outside the capital, Kabul.
The United States has about 8,400 troops in Afghanistan on a dual mission of training, advising and assisting Afghan forces in their fight against the Taliban and conducting counterterrorism operations against groups such as al Qaeda.
On Friday morning, Basir Mujahid, police spokesman in Kabul province, confirmed that three civilians had also been killed and four injured.
On Wednesday an attack in Kandahar killed two U.S. Army soldiers from the 82nd Airborne Division. The incident is now under investigation, officials said. Christopher Michael Harris, 25, of Jackson Springs, N.C., were killed when a auto bomb detonated near their convoy, the Pentagon said in a release late Thursday.
"Commando forces and the Afghan Air Force repulsed these attacks, and killed 42 armed Taliban and injured seven others", he said. He then detonated the explosives strapped to his body.
IS considers Shiite Muslims as apostates and frequently targets them in attacks.