After talks with Lebanon's Defence Minister Yaacub Sarraf, Le Drian emphasised France's committment to a "well-organised and robust Lebanese armed forces".
During his meeting with President Michel Aoun, a former army chief, he said France would continue to provide assistance to the Lebanese army, according to a readout provided by Aoun's office.
But there were no specifics on the reactivation of a frozen French military aid package, funded by Saudi Arabia, for the Lebanese army.
In January, French Foreign Minister Jean-Marc Ayrault said he was confident the USD 3-billion aid package would be restored after Riyadh halted it last year.
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But there have been hopes the aid might be restored, with Aoun, an ally of Hezbollah, visiting Riyadh in January and agreeing to new talks on the issue.
Aoun's office said he had thanked Le Drian today for "the support provided by France to Lebanon in all fields, especially in the military field".
Aoun expressed hope for "the continuation of this support to enable the army to carry out the national responsibilities on its shoulders, particularly in the areas of security and stability in the country, and the fight against terrorism".
His trip will also include a visit to French members of the UN peacekeeping force UNIFIL in southern Lebanon.