Union minister Kiren Rijiju, who is the election in-charge of the party in the state, maintained that elections are a constitutional process and the central government is bound by the Constitution.
In a tweet, Mr Rijiju said: "Holding of timely election is a constitutional process. Govt is bound by the constitution. Govt of India attaches utmost importance to the long pending Naga issue. We believe that peaceful election in Nagaland will facilitate the ongoing peace talks & strengthen our commitment."
The Naga rebels as well as the tribal civil society groups have been pressing upon the centre to find a solution to the vexed peace process before the elections. Monday's joint declaration by all parties posed a hurdle for the assembly elections in the state which will be held on February 27.
The lawmakers, who support the demand of solution before election, resigned from the state assembly on Tuesday. Sources say they are likely to join a new party - the NDPP, formed by Neiphiu Rio, former Nagaland chief minister.
Last week, Naga Hoho, the apex body of all Naga tribes, had openly called for a boycott the assembly elections. The working committee of six Naga National Political Groups also wanted to put the elections on hold till a final solution could be arrived at.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.