The lunch and talks at the Elysee Palace are expected to take in Syria and EU-Turkey relations, but Macron is also expected to voice concern over Erdogan's post-coup purges.
The visit to France will be Erdogan's first since the botched July 2016 putsch and one of only a handful to Europe since the attempted army takeover.
In an interview with France's LCI television yesterday, he said he had got off to a "very good start" with France's new leader.
The invitation to the Turkish strongman, who has presided over the arrest of tens of thousands of officials, academics, journalists and activists, has drawn criticism on the French left.
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The Socialist mayor of Paris, Anne Hidalgo, said she was "concerned" about the state of "human rights and local democracy in Turkey".
The French presidency has however insisted on the need to "maintain dialogue" with Ankara without "covering up differences of views."
Macron and Erdogan already met at a NATO summit in Brussels and at the UN General Assembly in New York in September, and held telephone talks leading to the release of two French journalists held in Turkey.
Amnesty International, whose Turkey head Taner Kilic has been jailed, said Macron should "strongly remind (Erdogan) that human rights defenders are not terrorists."
High on the agenda will also be Turkey's relations with the EU, which Ankara has sought to join for the last 50 years in an epic membership saga that appeared to hit the buffers amid bitter rows in 2017.
The purges carried out by Turkey in the wake of the coup bid have dealt the biggest blow yet to its ambition of joining the European Union.
But Macron has stressed the need to avoid a breakdown in communications with a country he calls an "essential partner" on conflicts, including Syria, where France is seeking to play a greater role.
Speaking to LCI, Erdogan -- who is trying to mediate in Syria alongside Russia and Iran -- reiterated his position that President Bashar al-Assad should stand down.
France has taken a similar line but has appeared to be less unbending on that condition of late.
Hosting Erdogan forces Macron, who has attempted to boost France's standing on the European and world stages, to again walk a diplomatic tightrope.