Global observers say the polls went smoothly despite late start to voting in some counties.
However Liberia's Observer newspaper reports that "the possibility of a run-off between presidential hopefuls George Weah of the Coalition for Democratic Change (CDC) and Joseph Boakai of the ruling Unity Party (UP), is becoming increasingly likely".
To avoid a run-off, the victor of the presidential race must get 50% plus one vote.
In the presidential post, the former footballer will replace Nobel Laureate for Peace in 2011, Ellen Johnson Surley, who has won two six-year terms. She led the country's recovery from a 14-year civil war and guided it through the Ebola crisis in 2014-15 that killed almost 5,000 Liberians. Voters commended her leadership, but also said they are ready for change when they lined up for Tuesday's historic vote.
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Should Liberia not have another female president or not?
"We are calling on NEC to immediately halt further announcements of election results".
Everyone who was in the queue by 18:00 local time yesterday was able to vote, he said.
The election turnout was impressive, especially among younger generations, said Christopher Fomunyoh of the USA -funded National Democratic Institute, which was monitoring the elections. "All of these people are saying they want change and improvement, and that explains why nearly all of the candidates are presenting themselves as candidates for change".