The Latest: Hurricane warning issued for the Bahamas

A resident runs in as flooded street as Hurricane Matthew roars over Baracoa, Cuba, Tuesday, Oct. 4, 2016. The dangerous Category 4 storm blew ashore around dawn in Haiti. It unloaded heavy rain as it swirled on toward a lightly populated part of Cuba and the Bahamas. (AP Photo/Ramon Espinosa) (The Associated Press)

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The high winds and rain of Hurricane Matthew roar over the waterfront of Baracoa, Cuba, Tuesday, Oct. 4, 2016. The dangerous Category 4 storm blew ashore around dawn in Haiti. It unloaded heavy rain as it swirled on toward a lightly populated part of Cuba and the Bahamas. (AP Photo/Ramon Espinosa) (The Associated Press)

A wave crashes into a building on the waterfront in Baracoa, Cuba, Tuesday, Oct. 4, 2016. The dangerous Category 4 storm blew ashore around dawn in Haiti. It unloaded heavy rain as it swirled on toward a lightly populated part of Cuba and the Bahamas. (AP Photo/Ramon Espinosa) (The Associated Press)

PORT-AU-PRINCE, Haiti – The Latest on Hurricane Matthew (all times local):

5 a.m.

A hurricane warning has been issued Tuesday morning for the northwest Bahamas as Hurricane Matthew continues its march up the Caribbean.

The hurricane warning in the Bahamas includes the Abacos, Andros Island, Berry Islands, Bimini, Eleuthera, Grand Bahama Island, and New Providence.

In the meantime, Matthew's eye is nearing the southwest peninsula of Haiti, where it's bringing life-threatening rain, wind and storm surge.

The Category 4 storm's maximum sustained winds are near 145 mph (230 kph).

Heavy rain has also fallen on Jamaica and dangerous rainfall is a threat for the Dominican Republic, which adjoins Haiti.