Photos posted on social media showed a thick black plume of smoke rising from the top of a burning plane.
The Dubai Media Office said the fire had been contained, adding that emergency teams at the airport and Emirates are “well trained to deal with such incidents”.
The cause of the accident was not immediately clear.
The Dubai government media office said on its official Twitter account that “all passengers were evacuated safely and no injuries have been reported so far.”
Emirates airline tweeted that an “operational incident” had occurred and that it was cooperating with authorities and emergency services at the scene.
“The main priority remains with those involved and offering support to concerned family and friends,” Emirates tweeted.
All departure flights from the airport have been “delayed until further notice”, the Government media office said.
Emirates said in a statement it had “no further information on what may have caused the accident”.
The airline had earlier said there were only 275 passengers and crew on board.
It also said that they are expecting a “4-hour network-wide delay.”
Planemaker Boeing said in a statement it was monitoring the situation in Dubai and it would be working with Emirates to gather more information.
The accident comes almost four months after a plane belonging to Dubai’s other carrier, flydubai, crashed and burst into flames as it was landing in Rostov-on-Don, in southern Russia, killing all 61 people onboard.
Dubai International is the world’s largest hub in terms of international passengers, and is the base for Emirates, from where it serves more than 153 destinations.