He said the latest results released on Friday were from 1,817 polling places with 540,900 votes or 23.71 percent of the total votes cast.
He was trailed by the Vice President Joseph Boakai who led in only the Lofa County by 78.1% while Charles Walker Brumskine also led in Grand Bassa (48.4%) and Rivercess (37.3%).
Official results have still not been announced even though the head of the National Elections Commission (NEC), Jerome Kokoya, had told the BBC that he expected the first results to be announced by 23:00 GMT on election night.
Before the commission's announcement, parties backing three other candidates alleged fraud and vowed to contest the results.
Global observers say the polls went smoothly despite late start to voting in some counties. Their results will be declared later, Korkoya said on Thursday.
Observers from the US -based Carter Center and National Democratic Institute (NDI) also said they had not identified any major issues with the voting or subsequent counting.
According to Al Jazeera, a second round seems likely, since unofficial reports from the Liberia Broadcast System suggest Weah, of the Coalition for Democratic Change (CDC) and current Vice President Joseph Boakai, of the ruling Unity Party (UP), are leading.
On Oct. 10, more than two million voters went to the polls to choose from among 20 candidates to replace Ellen Johnson Sirleaf, Africa's first democratically elected female president.
The mission is of the opinion that this phase of the electoral process has been largely in conformity with the laws of Liberia and with worldwide, continental and sub-regional standards for credible elections, but notes a number of shortcomings and therefore recommends for improvement of future elections.
"Well done George and I would say just for him to keep his enthusiasm and his desire to learn and to win", he added.