University President John Thrasher didn't say how long the suspension will last.
The suspension comes after a 20 year old Florida State University fraternity pledge died after a night of drinking.
FSU said the suspension also is in response to the arrest on Monday of a 20-year-old member of the Phi Delta Theta fraternity for the sale and trafficking of cocaine.
Mr. Thrasher said he had reviewed actions taken by other universities before he chose to enact a suspension across the Greek system.
Students can continue to live in the fraternity and sorority houses and hold chapter meetings, but they cannot host any events or take part in Homecoming as an organization, which is scheduled for November 12-18.
Mr. Thrasher said Greek life activities would resume after members of fraternities and sororities worked with the university's Division of Student Affairs to develop new measures and new expectations for student behavior.
They will be allowed to remain as residents in their fraternity or sorority house and will have meal service.
"I just feel like for whatever reason, the message is not getting through", Thrasher said. No one has been arrested in connection with his death.More news: Google's Waymo Is Launching a Driverless Ride-Hailing Service
The fraternity's national office suspended the FSU chapter's operations following his death, said Todd Shelton, a spokesman for Pi Kappa Phi.
DeLeo said investigators have interviewed more than 50 people, and plan to interview more people.
Thrasher has also banned alcohol at all student organization events during the suspension.
"I was very surprised that they are doing something about it".
"I think hazing is a problem and alcohol is the basis of a lot of their events", she said.
"They must work with us and demonstrate they fully understand the serious obligation they have to exercise responsible conduct", Thrasher said.
Many students at UF are on the edge of their seats after FSU suspends all greek life. "I hope that it's a short-lived response".
"It might be a good idea for people to take a step back and reflect on what values we truly want to portray in the Greek system", Armstrong said. "They will have to participate in the solution".