Bosses at The Arches decided to shut the Argyle Street club for two weeks after the death of 17-year-old Regane MacColl.
Ms MacColl died in the early hours of Sunday after becoming ill inside the club.
Police believe her death could be linked to red "mortal kombat" tablets.
A statement from The Arches, said: "Following the tragic death of Regane MacColl we have made the decision not to host any club events for two weeks, both as a mark of respect and to enable us to work closely with Police Scotland.
"Gigs and theatre events will go ahead as normal."
A host of planned club events, including Crookers, Moderat and ShangriLa, will either be cancelled or moved to other venues.
Police are expected to report to Glasgow City Council over the events. It is understood recent legislation could see the venue's licence reviewed within weeks.
Meanwhile, licensing officers confirmed they had not had received a complaint about the Arches.
A man yesterday appeared at Glasgow Sheriff Court charged with drugs offences involving "Mortal Kombat".
Jordan Thomson, 22, from Larkhall, faces two charges of supplying drugs and one charge of being concerned in the supply.
He made no plea or declaration and was released on bail by sheriff Joseph Platt. He is expected to appear again at a later date.