Prosecutors say that a 46-year-old man had inappropriate sexual contact with a two-year-old child.
The man, whose name and address cannot be published, is charged with incest.
Prosecutors say the incident occurred with the man and the girl on January 7.
The suspect was not required to enter a plea to the charge when he made his initial appearance before Deputy Chief Magistrate Andrew Forbes on Wednesday.
Bail has been denied and he must apply for release in the Supreme Court.
The accused man returns to court on March 27 and is represented by Devard Francis.