The three cities are Dhaka, Gazipur and Narayanganj.
An HC bench comprising justices Zubayer Rahman Chowdhury and Md Khasruzzaman issued the directive after a primary hearing on a petition.
The court also issued a rule seeking an explanation why the apathy of the authorities concerned in taking measures to check air pollution should not be declared illegal.
Supreme Court lawyers Julhasuddin Ahmed and Mujibur Rahman filed the writ petition on 7 January.
The secretaries of LGRD ministry, home ministry, ministry of environment and forest, IGP and mayors of the four city corporations have been asked to respond to the rule within three weeks.
According to the writ petition, the city corporations workers usually dump dusts and garbage along roads after sweeping the roads from 7:00am to 8:00am, which spread in the air throughout the day.
Besides, wastes are burnt on roads, creating smoke and causing health hazards to city dwellers. Besides, black smoke emitting from vehicles are also causing harms to public health, it said.
The level of pollution in Dhaka, Gazipur and Narayanganj has gone so high that the World Health Organisation placed them among the 25 cities with the most polluted air in the world.
The WHO report says that among the cities of Bangladesh, Narayanganj has the highest air pollution rate. It has a PM2.5 pollution rate of 89 ug/m3. It came in at number 17. Gazipur had a rate of 87 ug/m3 and was ranked 21st while Dhaka was 23rd with 86 ug/m3.
According to experts, the air pollution originating from construction work-related processes like concrete crushing, cement batching and road stone plants, is destroying the environment and clean air, depriving the city dwellers of breathing in fresh air.
