ICJ Kenya wants President Uhuru Kenyatta and NASA leader Raila Odinga to seek a political solution to the election standoff.
Chairman Njonjo Mue said in a statement on Thursday that the two leaders need to reflect on whether the current political environment is conducive for the repeat election next week.
ICJ has also asked IEBC chair Wafula Chebukati to seek the Supreme Court's directions on how to proceed with the election.
"IEBC chair must urgently pray to the Supreme Court to vacate the orders issued on 1st September 2017 and issue further appropriate orders following submissions from all parties to ensure free, fair, credible and peaceful elections in a conducive environment, which does not exist at this time," he said.
Mue said the court should consider the volatile environment, the resignation of Roselybe Akombe and the fact that a majority of IEBC commissioners are allegedly operating under duress.
"The inability to play this critical role means that the presidency will become a divisive institution and risk ultimately losing its legitimacy."
He asked Uhuru and Raila to drop their hardline stance and ensure the election is free, fair, credible and peaceful.
"This is not a call for a coalition, caretaker or transitional government because for a government to enjoy legitimacy, it must be elected by the Kenyan people in a free, fair, credible and peaceful election," the chairman added.
Jubilee Party has filed a contempt case against Raila at the Supreme Court.
Secretary general Raphael Tuju file the petition on Thursday, saying Raila and his supporters have vowed to cripple the election.
He noted this is despite the court's order for the
IEBC to conduct a fresh election within 60 days. The court made the ruling on September 1, following a petition by Raila.
The ruling also nullified President Uhuru Kenyatta's election. IEBC had declared him winner of the August 8 by more than 1.4 million votes against the NASA leader.
Tuju says sought as they are crucial to the maintenance of the rule of law and upholding the authority and dignity of the court.
NASA intends to hold countrywide demonstrations on election day next Thursday.
Despite saying it will be unable to guarantee a credible poll, IEBC has said it will still conduct the repeat election.