Al-Sharaa took power after his Islamist group, Hayat Tahrir al-Sham (HTS), led a lightning offensive that toppled long-time former President Bashar al-Assad in December.
Al-Assad, a member of Syria’s Alawite minority, ruled for more than two decades and fled to Russia after he was toppled.
The Élysée Palace said Macron will restate France's support for "a free, stable, sovereign Syria that respects all components of its society," while emphasising the importance of regional stability and the fight against terrorism.
The visit comes amid renewed bloodshed, coming a week after clashes between forces loyal to al-Sharaa and fighters from the minority Druze group that left nearly 100 people dead.
This followed earlier violence in Syria’s coastal region between Sunni gunmen and members of the minority Alawite community that al-Assad belongs to. That fighting left more than 1,000 people dead, many of them Alawite civilians killed in revenge attacks.