The authorities have moved over 1.2 million people to nearly 4,000 storm shelters in the coastal districts to avoid casualties menaced by cyclone Fani.
Disaster Management and Relief Secretary Md Shah Kamal briefed the media about the progress of the evacuation on Friday evening.
The 19 coastal districts have a population of about 18 million.
The government earlier said it was planning to move up to 2.5 million people to the storm shelters by Friday midnight.
The cyclone has already battered Odisha coast in India and is likely to reach Khulna and adjoining southwestern part of Bangladesh sometime between Friday midnight and Saturday morning.