Base emergency services responded to the scene following the shooting, which occurred around 4:30 a.m. local time, according to a release.
"The incident happened on base in one of our dorms," Staff Sgt. Elijaih Tiggs, a spokesman for the base, told Military.com. He explained that the dorms are set for first-term, unaccompanied airmen.
"An investigation is ongoing," he added.
The service is withholding the identities of the deceased for 24 hours until family members are notified.
There is no risk to other personnel at this time, officials said.
The 319th executes intelligence, surveillance and reconnaissance missions, including those that support Customs and Border Patrol.
The CBP operates the "MQ-9 Predator B aircraft out of Grand Forks and provides high-quality streaming video to first responders," according to the wing's fact sheet. The CBP's drone is unarmed. The wing also assists in the 69th Reconnaissance Group's RQ-4 Global Hawk operational mission.