If there are minor offenses in your criminal history, you will be able to visit Jamaica. It will be mostly a matter of making sure your passport is valid. Getting a statement from your bank and the Jamaican Ministry of Health and Wellness will be a formality. If, however, you’ve served sentences for more serious crimes, you will be denied entry. These include human or drug trafficking or financial fraud. Unpaid child support too will make it impossible to enter the country.