Travelers must complete an International Travel Certificate and must be presented prior to boarding and to immigration upon arrival or when transiting French West Indies.
Children under the age of 11 and residents of French Guiana or French West Indies are exempt from presenting a COVID-19 PCR-RT test result.
Children under the age of 2 are exempt from presenting a COVID-19 test.
Travelers with proof of recovery from the virus within the last 90 days prior to boarding. Proof of a recent positive viral test and a letter from your healthcare provider or a public health official stating that you were cleared to travel.
More info at the CDC site
Travelers who did not get tested, are advised to stay home and self-quarantine for 10 days after travel.