University President John Thrasher didn't say how long the suspension will last.
The move comes after 20-year-old Pi Kappa Phi fraternity pledge Andrew Coffey died Friday off-campus following a party.
In a separate and unrelated case, fraternity member, Garret Marcy of Phi Delta Theta was charged with selling drugs.
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Alcohol is also banned at all student organization events during the school's suspension.
"I want to send a serious message, I really do", Thrasher said, according to the Tallahassee Democrat.
"We've got a serious problem and we've got to deal with it".
Thrasher said members of sororities and fraternities will be allowed to remain in chapter houses during the suspension, which won't end until determined by the student community, according to the statement.
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Puigdemont married a fellow journalist, Marcela Topor, in 2000 and together they have two daughters. Puigdemont had said he would only return to Spain if he was assured of being given a fair trial.
TPD spokesman David Northway said Friday evening that several people were being questioned in connection with the death but no one has been arrested.
The press release said the university's Division of Student Affairs will create and implement new measures in collaboration with students and other stakeholder groups. The FSU chapter of the fraternity was suspended by its national organization after the death, pending the conclusion of the investigation.
Florida State University's Vice President for Student Affairs Amy Hecht said the university is working with the city police department. "They will have to participate in the solution".
Andrew Coffey, 20, is alleged to have died at the party, which occurred off of the Florida State University campus.
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