The relocations began in December and have been criticized by human rights groups, who say many of the refugees are being forced to move against their will.
Prime Minister Sheikh Hasina and her government have denied that and said the relocations will continue.
Bangladesh has said that ultimately it is up to Myanmar to take the refugees back and has called on the international community to put pressure on Myanmar's government to ensure their safe return.
More than 1 million Rohingya have fled waves of violent persecution in their native Myanmar and are currently living in overcrowded, squalid refugee camps in Cox’s Bazar district.
“My people and relatives came here earlier. They said it is better here. So, we came,” Aman Ullah, a Rohingya refugee, said Saturday after his arrival on Bhasan Char.
Another said he came voluntarily.
“We were asked to come. And we came here at our own will,” said Mohammed Nuruddin.
The island, located 21 miles (34 kilometers) from the mainland, surfaced only 20 years ago and was not previously inhabited. It was regularly submerged by monsoon rains but now has flood protection embankments, houses, hospitals and mosques built at a cost of more than $112 million by the Bangladesh navy.