Two members of the Jamaat-e-Islami were arrested on Wednesday on suspicion of their involvement in the Islamic State's (IS) propaganda.
According to Reuters, the arrested persons are grilled for their alleged links with the IS, which has claimed the responsibility for carrying out a series of attacks in Bangladesh, including the killing of two foreigners.
Reports suggested that one of the detained person called himself "Jihadi John".
Tensions prevailed in Bangladesh over the trials of Islamists for so-called war crimes for their participation in struggle for the independence of Bangladesh in 1971.
According to reports, Bangladesh has arrested some 15 suspects for "having contacts or trying to establish contact" with the ISIS since September last year.