Mr Hammond and Mr Le Drian visited French aircraft carrier the Charles de Gaulle, then were briefed by officers at HMS Bulwark.
Mr Hammond said the exercise was symbolic of the promise made in 2010.
It's a real, concrete delivery of that collaboration in the form of an enhanced military capability that gives our two countries additional force, additional capabilities to project military power in support of our national policies and international obligations.
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Heavy rain will move into Northern Scotland today, and the winds will become strong here through the afternoon.
Mr Trump addressed thousands of supporters in Florida on Tuesday and responded to the mixed reviews he received during the debate.
Parents in Anglesey, North Wales, will have to show birth certificates in order to prove their child's age and qualify for the scheme.