Morrisville police said the arrest was the result of a report of a domestic assault on Bending Branch Ct. at 12:17 a.m.
Investigators said Frazier's wife said she and her husband were arguing and Frazier assaulted her. Police said there was evidence of an assault.
Frazier was not at the home when officers arrived. He was stopped in his car a short distance away.
The 44-year-old is in his second year coaching the Eagles.
In a statement, NCCU said it was aware of the arrest.
"NCCU does not condone any action or activities of students, faculty and staff that violate city, county, state or federal laws. The university's expectation of high ethical standards applies to our entire campus community. As this is a legal matter, the jurisdictions involved will conduct a thorough investigation into the incident."
Frazier's bond was set at $1,500.