This is the official statement from the Bahamas Tourism Board.
Due to a continued increase in COVID-19 cases in the United States, as well as an uptick in cases in The Bahamas, the country has made the difficult decision to close borders to commercial flights and vessels from the U.S. effective Wednesday, July 22 at midnight. Outgoing flights will be permitted to accommodate any current U.S. visitors scheduled to return.
After July 22, private flights and charters from the United States, as well as pleasure craft and yachts will be permitted throughout the Island Of The Bahamas – with the exception of Freeport. Travellers from Canada, the United Kingdom and the European Union are also permitted to visit, and required to present a negative COVID-19 RT-PCR test from a referenced lab, taken no more than 10 days prior to the date of travel.”