Hurricane Melissa barrelled towards eastern Cuba, where it's expected to make landfall as a major storm after pummelling Jamaica as one of the strongest Atlantic hurricanes on record.

Authorities in Cuba had evacuated more than 700,000 people, according to Granma, the official newspaper, and forecasters said the Category 4 storm would unleash catastrophic damage in Santiago de Cuba and nearby areas.

A hurricane warning was in effect for the provinces of Granma, Santiago de Cuba, Guantanamo, Holguin and Las Tunas, as well as for the southeastern and central Bahamas.

A hurricane watch was in effect for Bermuda.

On Tuesday night, Melissa had top sustained winds of 130mph (215kph) and was moving northeast at 9mph (15kph) according to the US National Hurricane Center in Miami. The hurricane was centred about 110 miles (175km) southwest of Guantánamo, Cuba, and was forecast to move across the island through the night.

The storm was expected to generate a storm surge of up to 12 feet (3.6m) in the region and drop up to 20 inches (51cm) of rain in parts of eastern Cuba.

“Numerous landslides are likely in those areas,” said Michael Brennan, director of the US National Hurricane Center in Miami.

The hurricane could worsen Cuba's severe economic crisis, which already has led to prolonged power blackouts, fuel shortages and food shortages.

“There will be a lot of work to do. We know there will be a lot of damage,” President Miguel Díaz-Canel said in a televised address, in which he assured that “no one is left behind and no resources are spared to protect the lives of the population.”

At the same time, he urged the population not to underestimate the power of Melissa, “the strongest ever to hit national territory.”

Provinces from Guantánamo – in the far east – to Camagüey, almost in the centre of elongated Cuba, had already suspended classes on Monday.

As Cuba prepared for the storm, officials in Jamaica prepared to fan out on Wednesday to assess the damage.

Extensive damage was reported in parts of Clarendon in southern Jamaica and in the southwestern parish of St. Elizabeth, which was "under water,” said Desmond McKenzie, deputy chairman of Jamaica’s Disaster Risk Management Council.

The storm also damaged four hospitals and left one without power, forcing officials to evacuate 75 patients, McKenzie said.

More than half a million customers were without power as of late Tuesday as officials reported that most of the island experienced downed trees, power lines and extensive flooding.

The government said it hopes to reopen all of Jamaica’s airports as early as Thursday to ensure the quick distribution of emergency relief supplies.

The storm already was blamed for seven deaths in the Caribbean, including three in Jamaica, three in Haiti and one in the Dominican Republic, where another person remains missing. (AP)