A negative result from a PCR test taken within 72 hours of travel will also be required.
After arriving in Nevis, visitors must “vacation in place” for four days in a government-approved hotel.
British Airways is set to resume flights to St Kitts and Nevis from Gatwick on 3 October.
Following two consecutive services departing on 3 and 10 October, BA will then operate twice-weekly departing Wednesdays and Saturdays from 16 October.
Jadine Yarde, chief executive of the Nevis Tourism Authority, said the UK was one of the island’s top source markets, adding how and she “cannot wait” to welcome British visitors again.