It said land, river, and seaport activities, important services on roads and rivers, including food supplies, daily commodities, fuel, medicines, agricultural and industrial goods, fertiliser, fisheries, baby foods and essential items, relief goods, electronic and print media will remain out of the purview of the suspension.
The RHD also directed all concerned not to carry people on cargo vehicles.
Earlier in the day, the government extended the ongoing general holidays till May 16 as the coronavirus situation showed no sign of improvement.
The government declared general holidays since March 26 and extended it in several phases.
Also read: Coronavirus: General holidays extended further till May 16
It also shut down educational institutions, banned gatherings, imposed restrictions on movement and urged people to stay indoors to help the country fight the deadly virus.
Meanwhile, the government permitted shops, markets and shopping malls to keep open from 10am to 4pm in a limited scale during the general holidays from May 10.
People have been told to say where they are and not to travel during Eid-ul-Fitr holidays.
Bangladesh has so far recorded 10,143 coronavirus cases and 182 deaths.
Also read: Coronavirus cases in Bangladesh exceed 10,000; 5 more die in 24 hrs
The country reported its highest daily new cases on Monday with the detection of 688 patients.