The federal alliance or the Sanghiya Gathabandhan formed by the Madhesis and Janajati forces began their protests near Nepal's Singha Durbar on Sunday.
The alliance comprising of 27 political parties, including seven Madhesi forces, which have formed the Samyukta Loktantrik Madhesi Morcha (SLMM) had announced protest to exert pressure on the government to address their longstanding demands.
The disgruntled Madhesi parties demand redrawing provincial boundaries and amending some provisions of the Constitution.
The move comes days after the agitating forces' declined the government's offer to resume talks.
Prime Minister K.P. Sharma Oli-led government had on Monday written to the agitating parties, inviting them to the negotiating table.
No talks have been held between the two parties since February 18, the day the government formed a political mechanism to address the agitating parties concerns.
The alliance has vowed to continue the protest programmes until their demands are met.