The historic vote marks the final step of a drawn-out peace process, which began in 2006 with the end of the civil war between the Maoists and the state.
More than two million people -- around 65 percent of eligible voters -- cast their ballot for representatives in new national and provincial parliaments.
The two-phase elections will establish the country's first provincial assemblies as laid out in a post-war constitution that aims to devolve power from the top-heavy central governments to seven newly created provinces.
Nepal's tumultuous transition from monarchy to democracy has been marred by crippling instability that has seen 10 leaders hold power in 11 years -- some of them more than once -- hampering development and recovery from the earthquake that struck in 2015.
The areas that were worst hit by the quake, which killed 9,000 and destroyed half a million homes, voted on Sunday, with many expressing hope that sluggish reconstruction would be kickstarted by the political change.
"I hope to see more development and better services in our district," said first-time voter Shanta Bhujel, 18, who cast his ballot in Chautara, a town east of the capital Kathmandu.
Polling station officials in Balephi, a small town in northern Sindhupalchowk district, sealed the plastic ballot boxes as the polls closed at 5pm (1115 GMT) and loaded them into a truck to be transported to the district capital for storage.
Counting will only begin after the second phase of elections is held in the populous south on December 7, with results expected a few days later.
Elections were suspended and will be held again at two polling stations in the western district of Rukum after acid was sprinkled on ballot boxes and damaged the papers inside, said local official Bansi Kumar Acharya.
Meanwhile, voting was temporarily halted in another polling centre in the northeast after an explosive device was found. No injuries were reported.
Sporadic violence injured dozens in the lead-up to the polls, mostly blamed on a splinter faction of the Maoist Party. The faction pledged to disrupt the election.
Many in the impoverished Himalayan nation walked for hours to reach their nearest polling station, while in the remote west voters also braved sub-zero temperatures and snow.
But nothing stopped a 114-year-old woman from casting her ballot in the western district of Baitadi.
The new constitution, finally approved in 2015, mandates a sweeping overhaul of the political system, which should limit the impact of the horse-trading in Kathmandu on much-needed development in the rest of the country.
Rules under the new charter allocate a proportion of seats in the federal and provincial assemblies to women and people from indigenous communities and the lowest Dalit caste.
The rules will also weed out some fringe parties from the parliaments and raise the bar for ousting a prime minister, leading to hopes that the next government could be the first to last a full five-year term.
"Our vote this time is in the hope that next time vote the country is in a better condition," said hotel owner Bhakta Lal Shrestha after casting his ballot in Balephi just before polling closed.
However, analysts warn that the impact of the changes could be limited, with the three parties that have dominated the political stage since the end of the conflict expected to take the lion's share of seats.
The Maoist Party of the former rebels has formed an electoral alliance with the communist CNP-UML, fielding candidates jointly in key races.
The powerful bloc has left the ruling party, the centrist Nepali Congress, on the back foot and forced to look to smaller parties in a bid to remain in power.
"Since there is no real ideological difference between the two alliances any more, what we need for stable politics is a majority government with a strong opposition to keep it in check," the English-language Nepali Times wrote in an editorial Sunday.
"At this moment, that is the best we can hope for."
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)