AfricaNews Monitoring Team with files from BBC
Votes are currently being counted in Liberia's second presidential election since a 14-year civil war ended in 2003. Election officials said Tuesday's vote went off peacefully, with no violence reported.
This is the first election Liberia's National Elections Commission has organised as the previous one was run by the UN.
Its chairman James Fromoyan said provisional results would be released on Thursday.
"The commission is pleased that the process has unfolded in a quiet atmosphere," he said.
African Union observer mission head Speciosa Wandira said she hoped the rival candidates would accept the result.
"From what I see, there is no reason to worry," she said.
President Ellen Johnson Sirleaf, who was first elected in 2005, is facing her strongest challenge from former diplomat Winston Tubman.
She was awarded the Nobel Peace Prize last week - a decision denounced by Mr Tubman and other candidates.