The migrants' fate has been the subject of a diplomatic tussle between Myanmar and Bangladesh since they were found in the Bay of Bengal on May 29.
Neither country has shown willing to accept them despite a warning from the United States that it was watching the situation "very closely".
The packed boat was intercepted last Friday heading south towards Malaysia, which along with Indonesia and Thailand has seen 3,500 people arrive in recent weeks in a migrant crisis that erupted after a crackdown on people-smuggling.
The Rohingya are a pariah people in Myanmar with the majority denied citizenship, while Bangladesh's Prime Minister Sheikh Hasina has accused desperate economic migrants from her country of being "mentally sick" and tarnishing the country's reputation.
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There were 733 passengers crammed on the boat, Myanmar immigration officer Saw Naing said after a count in Rakhine State today, adding "187 of them are from Myanmar and 546 from Bangladesh."
Myanmar officials have said the group will be further assessed at the camp over the coming days.
A convoy of the migrants, many bare-chested and devoid of any belongings, were driven around three hours from the Rakhine coastal town of Maungdaw to a remote camp close to the Bangladesh border this afternoon.
The clutch of tents in scrubland is the latest stop in a gruelling -- and dangerous -- journey that has seen the migrants flee in an overcrowded boat, be set adrift at sea by people smugglers and then returned to the area they initially fled.
Myanmar's navy has found around 1,000 migrants in its waters in recent weeks and appears determined to edge them into Bangladesh, although officials there are resisting mass deportations across the frontier.