Nasaka, Burma's border security force, brought the people from the Burmese town Maungdaw to Teknaf in a machine boat at noon on the day, he said.
Bangladeshi authorities received the group at a BDR outpost located on the banks of the Naff River, but immediately transferred the 30 to a Teknaf police station to verify their nationality.
A police official from the Teknaf police station said the migrants are being detained at the Teknaf station while it is determined whether or not they are Bangladeshi citizens.
If any is found not be a Bangladeshi, they authorities will take action in accordance with the law, he added.
According to Burmese authorities, the 30 migrants were arrested by the Burmese navy two months ago in Burmese waters when they entered Burmese territory in a machine boat.
It was learnt that the migrants were arrested in Burma en route to Malaysia via sea, in search of jobs.