Anguilla is part of the United Kingdom. Requirements are similar to the UK. 

Passport holders from the following countries are required to present a visa to enter Anguilla: Afghanistan, Albania, Algeria, Angola, Armenia, Azerbaijan, Bahrain, Bangladesh, Belarus, Benin, Bhutan, Bolivia, Bosnia-Herzegovina, Burkina Faso, Burundi, Burma, Cambodia, Cameroon, Cape Verde, Central African Republic, Chad, China(except Hong Kong or Macao), Columbia, Comoros, Congo, Cuba, Djibouti, Dominican Republic, Ecuador, Egypt, Equatorial Guinea, Eritrea, Ethiopia, Fiji, Gabon, The Gambia, Georgia, Ghana, Guinea, Guinea-Bissau, Guyana, Haiti, India, Indonesia, Iran, Iraq, Ivory Coast, Jamaica, Jordan, Kazakhstan, Kenya, Kyrgyzstan, Korea (North), Kosovo, Kuwait, Laos, Lebanon, Liberia, Libya, Macedonia, Madagascar, Maldives, Mali, Mauritania, Moldova, Mongolia, Morocco, Mozambique, Myanmar, Nepal, Niger, Nigeria, Oman, Pakistan, Palestine, Papua New Guinea, Peru, Philippines, Qatar, Romania, Russia, Rwanda, Sao Tome & Principe, Saudi Arabia, Senegal, Serbia, Sierra Leone, Somalia, South Aftrica, South Sudan, Sri Lanka, Sudan, Suriname, Swaziland, Syria, Taiwan, Tajikistan, Tanzania, Thailand, Togo, Trinidad, Tunisia, Turkey, Turkish Republic of Northern Cyprus, Turkmenistan, Uganda, Ukraine, United Arab Emirates, Uzbekistan, Vatican, Venezuela, Vietnam, Yemen, Zambia and Zimbabwe.

If you need a visa you will need to contact a British embassy or consulate.  A valid UK visa is valid for Anguilla.

Anguilla visa information

Note: Please confirm details with embassy because policies do change with time