Local media reports said the attackers were wearing Afghan security uniforms and entered the front gates of the large compound, which is guarded and surrounded by high walls.
This was the first reported abduction related to the private co-ed university, which has attracted numerous visiting instructors from the United States and other Western countries since it opened in 2004. About 1,700 students attend the school.
Officials at the foreign and education ministries could not be reached early Monday morning, and police provided no further details.
There has been no immediate comment from the U.S. Embassy, but Australian officials were said to be trying to confirm the reports with Afghan authorities.
The abductions came three days after a group of Western tourists, including three Americans, was attacked by Taliban fighters while driving in a convoy across rural western Afghanistan. Five of the visitors were injured but all were safely evacuated to nearby Herat. A Taliban spokesman said they were targeted as “foreign occupiers.”
The same day, seven Pakistani civilians were taken hostage by Taliban fighters in eastern Logar province after their helicopter crash-landed.
They are still in Taliban hands, and Afghan and U.S. officials have told Pakistan they will try to help rescue them.
In the Kabul incident, it was not known who carried out the kidnappings, and the Taliban have not claimed responsibility. Kabul is plagued by organized criminal gangs that stage kidnappings for ransom, both of wealthy Afghans and foreign visitors, and sometimes turn them over to the Taliban.
Dozens of international aid workers, construction contractors and other foreigners have been abducted by Taliban insurgents in the past decade. Some have been killed but most have been recovered.