From Monday, flights will resume to Sydney, while services will return to Melbourne from Tuesday and to Brisbane from Thursday.
Passenger flights between Dubai and Perth, as well as cargo operations to all Australian points, continue as scheduled.
Hundreds of Australians were last week left stranded after the major airline announced the cancellation on Friday night.
"We regret the inconvenience caused to our customers in the period where we had to temporarily suspend our services," a statement distributed by the airline read.