The police on Thursday said they were on their way to Agartala on an inter-state bus but deboarded it mistakenly at Khayerpur and were spotted there moving aimlessly.
They were then taken to the police station on suspicious grounds.
However, they were now in Tripura in search of jobs.
Despite showing United Nation refugee cards, the police said that they would be produced before a court today.
In August, the country's security forces launched a military campaign in Rakhine state, where majority of Rohingya Muslims reside, following terrorist attacks on their posts.
Prime Minister Narendra Modi-led government had recently said the Rohingya Muslims were illegal immigrants and pitched for their deportation.
The Supreme Court, however, had asked the Centre not to treat them as a national security issue, but consider it as a humanitarian and human rights issue. (ANI)