The suspension comes as K-12 schools, colleges and universities across the country contend with how to start and safely continue
the academic year during a worldwide pandemic.
Ohio State, located in Columbus, is one of the largest in the country, with nearly 70,000 students.
Students moved back to campus starting August 12. At the time, the university sent out a note telling students they must wear a mask, practice social distancing, and that gatherings could not include more than 10 people.
In the note, Vice President of Student Life Melissa Shivers warned the university's student conduct team was in the process of opening dozens of cases that would likely result in interim suspensions.
Shivers also made clear that student organizations involved in unsafe gatherings could lose their university recognition and funding.
"Perhaps knowing about the action we are taking will influence your decisions and prompt you to encourage others to take this situation seriously" Shivers wrote in her Friday letter. "And remember that this is all about more than the individual. We have one shot at this -- responding to what so many of you asked for: an on campus semester at Ohio State."
The Office of Student Life is monitoring off-campus neighborhoods and is reporting students who might have broken rules, school spokesman Benjamin Johnson told CNN.
CORRECTION: This story has been updated to correct the date when students began moving back on campus. It was August 12.