Fair Work Australia will hold a hearing in Melbourne on Saturday night to try to resolve the dispute that has left thousands of Qantas passengers stranded, after the airline suspended all flights indefinitely.

Workplace Relations Minister Chris Evans has written to the tribunal seeking orders to terminate all industrial action relating to the dispute over pay and conditions at Qantas involving three unions.

The section of the workplace laws being used by the government deals with disputes that could cause significant economic damage.

The hearing will be held at FWA's Melbourne registry and videolinked to the Sydney registry at 10pm (AEDT).

Senator Evans says if the government's application is granted all industrial action by both Qantas and the unions involved in agreement negotiations will stop.