"We have taken all precautions," presidential spokesman Rafael Nunez said.
Irene is forecast to grow into a Category 3 hurricane late Tuesday as it moves over the warm waters of the Turks and Caicos Islands and the southeastern Bahamas, and could maintain that strength as it nears the U.S. coast.
Florida residents were urged to ensure they had batteries, drinking water, food and other supplies.
Officials in Charleston, South Carolina, also warned residents to monitor Irene closely. It has been six years since a hurricane hit the South Carolina coast, said Joe Farmer of the state Emergency Management Division.
Police and civil protection officials in the Dominican Republic made their way along the beaches of the country's northern coast to warn people away from the surging sea. Resorts pulled up the umbrellas and lounge chairs as the storm made its way toward the country. At the Wyndham Tangerine, a hotel in the resort area of Sosua and Cabarete, the staff converted a conference room into a temporary storm refuge for 300 people, said deputy general manager Karen Gonzalez.