Some miscreants attacked the march in the Shaheed Minar area at around 11:30am.
The leaders of left leaning organisations who organized the march blamed local Awami League and Jubo League leaders for the attack.
Witnesses said agitation started after the protesters chanted anti-government slogans and wrote “protector of rapists” on a festoon with the picture of Nizam Hazari at Doel Chattar.
Miscreants attacked the long march when it was heading towards Eklashpur area of Begumganj.
The second attack was launched in front of the Nirman Super Market.
Dozens of people including Jahirul Haque, correspondent of Ekattor television, and camera person Saju were injured.
Samajtantrik Chhatra Front President Masud Rana said the attackers vandalized 6 vehicles and injured at least 200 protesters of the long march.
Awami League General Secretary of Sadar upazila unit Shuhen Chandra Sheel said general people resisted the long march as they wrote misleading comments on pictures of Bangabandhu, Prime Minister and local politician Md Nizam Uddin Hazari.
The march began from Shahbag around 10:30am on Friday.
The protesters including left-leaning parties, students, youths and rights activists, started their long march under the banner of "Dhorshon O Bicharhinotar Biruddhe Bangladesh" (Bangladesh against rape and impunity) to press home a nine-point demand.
Their demands include ensuring exemplary punishment of the perpetrators involved in rape and violence against women, resignation of the home minister and an end to repression of women.
Protests against rape and violence against women erupted across the country since the beginning of October, following the recent incidents of gang rape in Sylhet's MC College and in Noakhali's Begumganj upazila.
In the wake of widespread protests against the growing incidents of rape, the President has promulgated an ordinance allowing death penalty as the highest punishment for the crime instead of life imprisonment.
The ordinance was issued following waves of anti-rape demonstrations across Bangladesh after a video footage of five men gang-raping a housewife, stripping her naked and filming the video of the incident in Noakhali’s Begumganj upazila, went viral on social media.
Also read: Long march against rape heads towards Noakhali from Dhaka