The HC bench of Justice Sheikh Hassan Arif and Justice Razik-Al-Jalil passed the order after hearing a writ petition.
The HC also issued a rule asking the government to explain why directives should not be given to provide Tk 50 lakh as compensation to each family.
It also wanted to know in the rule as to why the failure to provide training to drivers of motorised vehicles as per the government rules, file cases and arrest accused drivers should not be declared illegal.
Home, and Road Transport and Bridges secretaries, Chairman of Bangladesh Road Transport Authority, Inspector General of Police, Dhaka Metropolitan Police Commissioner and Chattogram Metropolitan Police Commissioner were made respondents to the rule which is returnable in four weeks.
The HC fixed April 15 for the next hearing.
Barrister Abdul Halim stood for the petitioner.
A Class-VIII student was killed in a road crash in Chhatogram on January 22 while a college student and two siblings were killed in separate road accidents in Keraniganj on January 16 and January 28 respectively.
Children Charity Bangladesh Foundation and Bangladesh Legal Aid and Services Trust filed a writ petition with the High Court.