From there it will be transported to a defence ministry laboratory in Toulouse for analysis.
The Malaysia Airlines Boeing 777 travelling from Kuala Lumpur to Beijing vanished in March 2014.
There were 239 passengers and crew on board.
Since then, an Australian-led search effort has been focused on a vast area of the southern Indian Ocean about 4,000km (2,500 miles) to the east of Reunion, a French overseas department to the east of Madagascar.
Experts have said the two-metre (6ft) object washed up on a beach could be a moveable piece of a Boeing 777`s wing, called a flaperon.
A team from Malaysia Airlines has already arrived in Toulouse and French officials say analysis of the part should begin on Wednesday.
The military laboratory is expected to verify the serial number of the object and conduct further tests. Fragments of a suitcase found on the same beach are also to be examined.
The centre in Toulouse was also involved in analysing debris from the Air France flight AF447 which crashed on a flight from Brazil to Paris in 2009, killing 228 people.
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