Those affected include 13 people from the same household as a staff member, according to prime minister Keith Mitchell, quoted in The Washington Post.
The outbreak is a severe blow to the island, which had only recorded 45 cases since March.
Late last month, Grenada mandated that all arrivals must obtain a PCR negative test certificate within 72 hours of travelling.
Sandals told TTG the resort remained open “for guests to enjoy”, with quarantine measures “strictly enforced”.