Students have been advised to take shelter and call 911 if they see something suspicious.
MSP said the incident was reported just after 9 a.m., Friday March 2.
CMU sent out a voice alert which said there were reports of shots fired near the 4th floor of Campbell Hall and students should stay clear of the area.
James Eric Davis Jr., 19, was identified as a suspect in what campus police believe was a domestic dispute. It was the nation’s 12th school shooting this year.
He is a black male and wearing mustard yellow jeans and a blue hoodie, the police said.

Police declined to confirm news reports that said Davis had fatally shot his parents when they came to pick him up for spring break.
Central Michigan University has roughly 23,000 students and is located in Mount Pleasant, about 155 miles north-west of Detroit.