But officials have made it clear they wants the protests - which have embarrassed the government of Sheikh Hasina - to end immediately. At present, the Bangladeshi leadership is already in crisis, in such a way the student movement is going to increase trouble.
Students shout slogan during a rally as they join in a protest over recent traffic accidents.
It also called for the immediate release of Shahidul Alam, 63, a renowned Bangladeshi photographer who was detained on Sunday night after giving an interview to Al Jazeera about the protests.
"This is a personal issue, but this is a national issue as well".
The US embassy in Bangladesh has also criticised the police response to the protests in a strongly-worded statement. They're calling for improvements to road safety in Bangladesh, where around 12,000 people are killed in road accidents each year, according to the Associated Press.
"All of us living here, we are concerned about our family, friends, relatives living in Bangladesh".
The local demonstrations come as protests in Bangladesh turned violent over the weekend.
New Age correspondent in Barisal reported that Bangladesh Road Transport Workers' Federation activists blocked Mostafapur point in Madaripur and stopped buses from crossing going to Dhaka, Jessore and Rajshahi Dhaka-Barisal highway in the morning.
Thousands of people have taken to the streets of Bangladesh's capital to demand safer streets, facing police firing tear gas and pro-government activists who attacked them with clubs.
Over the past two days, unidentified men in helmets carrying sticks and metal rods have attacked protesters and journalists. "We have carried at least three students to the nearby Apollo Hospital", one student, Z. Mallick, told AFP.
On Saturday, clashes broke out after police used tear gas and batons to scatter protesters. Dhaka police commissioner Abdullah Hale said, "The situation is very bad in the area". Unlike many other news organizations, we have not put up a paywall.
"It's not true. Nothing happened at Jigatola", Dhaka police spokesman Masudur Rahman told Agence France-Presse (AFP).
Ruling Awami League's general secretary and road transport minister Obaidul Quader urged the students not to step into any "instigation trap" saying after an abortive demonstration for quota reforms for government jobs in recent months "they are now depending on school students".
It has "urgently" called upon all parties to keep everyone - including children and young people - safe on the roads and safe from any kind of violence.
The embassies of the United States and Australia warned of significant delays and disruptions as a result of the protests across Dhaka and elsewhere in the country.