Emirates Airline took delivery of two Airbus A380s (MSN 105 and 106) plus one Boeing 777-300ER (MSN 41081) on 1 October.
The Dubai-based carrier now has a total of 25 A380s in its fleet, with orders for an additional 65 units.
Chief executive Tim Clark says he would be willing to sign for more of the double-decker aircraft were it not for limited space at Dubai International airport.
The airline is due to relocate its home base to Al Maktoum International airport - which will have an annual capacity of 160 million people when completed - though the timeframe for the move remains unclear.
Emirates now also operates 78 777-300ERs, according to Flightglobal's Ascend Online database, with orders for 73 additional units.