Bangladesh has evacuated 10,000 Rohingya refugees from around camps on the Myanmar border after monsoon landslides and flash floods killed at least 14 people.

After three days of torrential rain, the refugees, most of whom fled a military crackdown in Myanmar in 2017, were moved from hilly slopes around the Balukhali camp in Cox's Bazar.

Tens of thousands of Rohingya, who could not find room in the camps, have cleared forests on the surrounding hills and set up shelters that have since been met with landslides every monsoon season.

At least six Rohingya are among the dead and several others were injured, officials said. The other dead are local villagers whose homes were buried.

"The rains are ongoing and prolonged, and the level of damage is expected to increase over the coming days.

The people affected by fires in March are now severely impacted by flooding," said Fiona McLysaght, aid agency Concern's Country Director in Bangladesh.

"The most severe rains to hit Cox's Bazar in years have resulted is disastrous flooding that has overwhelmed the Rohingya refugees and some of the poorest communities in Bangladesh."

'I don’t have anything’

Cox's Bazar district, where more than 850,000 Rohingya refugees are packed into 34 camps, has recorded more than 27 centimetres of rain since Monday, according to weather authorities.

About 7,000 local people outside the camps have also been moved to safety, officials said.

Rohingya refugee camp (file image)

Mohammad Salam, a 30-year-old Rohingya, his wife and three children were among those moved.

"My house collapsed yesterday. I don't have anything. I have three children and they have started having fevers," Mr Salam said.

The United Nations refugee agency said 2,500 shelters housing 12,000 Rohingya have been affected by the floods.

"We are also aware of damage to facilities including health centres," Hannah Macdonald, a UN spokesperson said.

Aid workers said a coronavirus lockdown in the camps, following a major spike in cases, has affected rescue work as authorities have halted what they consider non-essential visits.

"Covid cases are increasing at alarming rate across the Bangladesh with 15,000 confirmed cases and 247 deaths recorded on Monday, while only 3% of the population is fully vaccinated," said Ms McLysaght.

About 740,000 Rohingya fled Rakhine state in Myanmar after security forces launched a clampdown in 2017 that the UN has said may amount to genocide.

Last month, two Rohingya refugees were killed in separate landslides during heavy rain.