People are dying from extreme heat, which is also killing a large number of chickens and destroying tea plants
The announcement came on Saturday after cyclone Fani hit Bangladesh damaging hundreds of homes and crops on swathes of coastal and northwestern districts.
The new dates for the exams will be announced later, Acting Exam Controller Badruzzaman said.
The National University also postponed exams of Saturday after the storm lashed India.
Over 1.3 million people in the coastal districts were moved to cyclone shelters, which include educational institutions, to avoid casualties.