The health directorate advises people to avoid working in sunlight for a long period, but rest is a luxury the poor cannot afford
Vulnerable sections like senior citizens, orphans, physically and mentally challenged will be given priority.
Temperature in northern Bangladesh's Dinajpur plunged below 10 degrees Celsius on Friday.
Bangladesh Association of Banks on Saturday handed over 379,000 blankets to the prime minister at the Ganabhaban.
Hasina's Deputy Press Secretary Ashraful Alam said she had ordered PMO officials to distribute the blankets.
One or two mild cold waves (8-10 degrees Celsius) may sweep over north, north-east, west and central Bangladesh at the end of December, Met Office says.