See the list of approved real estate, which makes you qualify for the Economic Citizenship program in St Kitts and Nevis. It is not an automatic process, as you would still need to apply for economic citizenship and pay all applicable fees.
Pertinent information on the Economic citizenship program.
Government of St Christopher (St. Kitts) & Nevis
Official website of the Government of St Kitts & Nevis. This site provides pertinent information on tourism, foreign affairs, legal affairs, economic citizenship program, etc.