Millions of Rwandan voters have this morning queued at polling stations to elect the next president scheduled to serve a 7-year term - the third presidential election after the 1994 Genocide against Tutsi.
Observers condemned the reform, which could potentially see Kagame seek re-election twice more and remain in office until 2034.
At some polling stations, music urged voters to choose the candidate who will transform the country and unite all Rwandans.
Counting of the votes will immediately follow.
Rwanda has about 6.9 million registered voters.
Polls closed in the afternoon and provisional results were expected later in the day, according to Charles Munyaneza, executive secretary of the Rwanda Electoral Commission.
In the run-up to this week's vote, three of the five candidates who were planning to run against Kagame were disqualified.
Two decades of often deadly attacks on political opponents, journalists and rights activists have created a "climate of fear" ahead of Rwanda's election, Amnesty International said in a report last month.
Habineza - whose party was prevented from registering to participate in the 2010 presidential election - said his colleagues have received intimidation and have been harassed.
"I chose this party simply because of its good platform", he said. So expecting the same freedoms as an advanced democracy is unfair. Mpayimana and Habineza voted in other locations in the capital.
"If they are scared today then this is unfairness and I can not accept [the result].it will be a catastrophe".
Kagame's ruling party manifesto focuses on further strengthening the economy, boosting social welfare and good governance.
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To stay in power, he will have to continue surrounding himself with star-studded supporters and prevent any serious dissent from getting in his way.
Kagame was just 36 when he became Rwanda's de-facto leader after the genocide.
Polls close at 3pm local time.
Nigerian billionaire Tony Elumelu, who spoke about his foundation's empowerment of African entrepreneurs, said Kagame "makes Africans very proud".
Long-time leader Paul Kagame is widely expected to win. Despite media frenzy at the polling station, Kagame did not offer any interview.
In some areas, polling rooms were decorated with balloons, satin cloths and gourds of milk, a symbol of peace and sharing in Rwanda.
TRT World's Ben Said has more.
He has overseen strong economic growth, at an average of eight percent between 2001 and 2015, while also turning Rwanda into a technological hub and uprooting corruption.
Critics argue the successes of Kagame's tenure have come at a high cost for civil society.
Sarah Jackson, deputy director for Amnesty International's East Africa office, has called on the worldwide community to remain watchful. RPF defeated the genocidal government in July 1994 and took power.
The East African Community has worldwide observers monitoring the polls, while the European Union decided not to send a team of observers.
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