The development is said to have occurred after a rainstorm Saturday night.
The latest incident at the UDS City Campus at Sagnarigu comes days after two separate three-story buildings collapsed at Nanakrom in the Adentan municipality.
Some persons say the building came crashing down due to poor construction work by laborers.
Meanwhile, Security personnel have refused access to persons at the scene of the incident.
The University for Development Studies was established in 1992 as a multi-campus institution to serve the four northern regions of Ghana.