Caribbean fears for coastal families as Hurricane Matthew gets close

* Slow-moving storm threatens to bring flash floods

* Matthew is strongest Caribbean cyclone in 9 years

* Jamaica streets flood as rain lashes island (Updates storm position)

By Makini Brice and Gabriel Stargardter

LES CAYES, Haiti/KINGSTON, Oct 2 (Reuters) - Haiti and Jamaica urged residents in vulnerable coastal areas to evacuate and Cuba suspended flights on Sunday as bands of rain from Hurricane Matthew, the strongest storm to menace Caribbean nations since 2007, drenched the Jamaican capital.

Matthew's slow-moving center was expected to come near southwestern Haiti and Jamaica on Monday as a major storm bringing winds of 145 miles per hour (230 kph) and life-threatening rain, the U.S. National Hurricane Center said.

Eastern Cuba would also feel bands of fierce wind and rain on Monday, the agency said.

"We are very worried by the situation," Haitian Interior Minister Francois Anick Joseph said at an operations center in Port-au-Prince. "We want everybody to know that it is real."

He said 1,300 shelters had been set up, with the capacity to hold 340,000 people. Some two thousand people refused to leave their seaside homes in the coastal town of La Savanne and the government was ready to use force if needed, Anick Joseph said.

One person was swept away by high waves on Saturday despite government warnings to stay out of the sea, he said.

On Sunday afternoon, nobody had arrived at the largest shelter in La Savanne, a high school with the capacity to fit 600 people, except some boys playing basketball there.

Up to 40 inches (101 cm) of rain could fall on parts of southern Haiti and the prime minister's office issued a red alert warning for landslides, high waves and floods.

"Preparations to protect life and property should be rushed to completion," the hurricane center said.

In Kingston, Jamaica, major roads and waterways flooded as the first bands from Matthew lashed the island. Cars stalled as rain-drenched drivers tried to push vehicles through streets that flooded within minutes after the downpour started.

In the nearby town of Port Royal, fishermen scorned government calls to leave for shelters.

Matthew was about 255 miles (415 km) southeast of Kingston on Sunday night and moving northwest at 5 mph (7 kph), with a turn to the north expected overnight. The hurricane center ranked it at Category 4 on the five-step Saffir-Simpson scale of hurricane intensity.

"Slow motion is almost always a bad thing for any land area impacted," said John Cangialosi, a hurricane specialist at the center. Matthew was expected to remain a powerful hurricane into Tuesday, the center said.