Anne-Marie Idrac, France's state secretary for foreign trade, will sign the agreement in Georgia, the ministry said without disclosing the sum.
France pledged aid to repair the radar at an international donor conference held in Brussels on October 22 to help rebuild the ex-Soviet Caucasus state in the wake of the August conflict with Russia, the ministry said.
A joint World Bank and UN assessment has said Georgia will require around $3.4 billion over the next three years to support the economy, public sector and for infrastructure development.
At a September summit, EU leaders pledged to contribute around $715 million between 2008 and 2010 for Georgia's restoration.
Russia and Georgia fought a brief war in August after Georgia launched a military offensive against South Ossetia in an attempt to regain control over the republic, which split from Georgia in the early 1990s.
