The lawsuit seeks a court order allowing the concert to go on.
Insomniac Inc. says it filed the suit after many failed attempts to amicably resolve the dispute.
On August 13, 2010, the Los Angeles Convention Center terminated the contract, citing the death of a 15-year-old girl during the Electric Daisy Carnival in June, also promoted by Insomniac. The girl died from a suspected drug overdose, and there were 118 arrests during the event, mostly for drug possession.
Insomniac said the events are unrelated and that the Tiesto concert would be indoors and limited to some 17,000 adults. It added that the company has promoted and produced five sold-out Tiesto concerts in Los Angeles in 2008 and 2009, all without incident.
In making its case, the promoting company went as far as drawing a comparison to the 1980s movie classic "Footloose," in which dancing and rock music were banned.
The city attorney's office did not immediately comment on the lawsuit Monday.