Duquesne President Ken Gormley, in a letter to the campus community, wrote that Brown passed away at Mercy Hospital after jumping out of a 16th-floor window of a residence hall.
Pittsburgh Police also issued a statement that they are investigating the death of an identified male on the school's campus.
According to the police report, Duquesne campus police were dispatched to the 16th floor of the building for a disturbance at 10:31 p.m. ET on Thursday night. With campus police on the scene, a male jumped from the window.
"We are all deeply saddened by the passing of Marquis Brown," said Duquesne Director of Athletics Dave Harper. "Our prayers and efforts are focused on supporting his family, friends and teammates through this most difficult time."
Brown, who played scholastically at DeMatha Catholic High School in Washington, D.C., appeared in one game this season and had three carries for seven yards.
The school decided to go ahead with Saturday's homecoming game against Bryant University in a decision that was made by the players, head coach Jerry Schmitt said in a statement Friday.
"The team met early this afternoon as a group and decided that the best way to honor JB's memory is to play Saturday's game as scheduled," said Schmitt. "We left the decision purely up to the team and made it clear that we would support them whether they chose to play or not. This has been a difficult day for everyone associated with our football program and the University as a whole. Above all, we continue to offer our thoughts and prayers to the Brown family."