President Uhuru Kenyatta, who was declared the victor in the August vote, wants to press ahead with Thursday's election despite concerns about its credibility.
Incumbent President Kenyatta emerged victor of the August election but a ruling by Kenyan Supreme Court annulled the outcome of the election over what it deemed clear illegalities and irregularities in the conduct of the election.
Wednesday has been unexpectedly declared a public holiday, but the Supreme Court says that will not affect its business.
Kenya's Supreme Court will hear a petition on Wednesday filed by three Kenyans that seeks the cancellation of a presidential-election rerun scheduled for the following day.
Kenyan police fired teargas and shots in the air to scatter a small number of demonstrators in Nairobi on Tuesday. The confrontations occurred amid bustling traffic and forced some city workers and passers-by to hurry away from clouds of tear gas.
Human rights activists have said police fatally shot 67 people since the August 8 election whose annulment by the Supreme Court opened the way to the new vote.
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Wafula Chebukati, the electoral commission chief, has said he can not guarantee a credible election this week.
The court had then ordered for a re-run of the election.
National Super Alliance (NASA) leader Raila Odinga speaks during a press conference on October 9, 2017 in Nairobi. He called the Supreme Court justices "crooks" after they nullified his re-election. But it alarmed some Kenyans who feared it could lead to a protracted period of political instability in East Africa's economic powerhouse, which has seen elections followed by deadly violence in the past.
Mr Khalef Khalifa, Mr Samuel Mohochi and Mr Gacheke Gachuhi claim the electoral commission is divided and can not guarantee a fair and credible poll.
Those, who filed the petition are Khelef Khalifa, Executive Director of Muslims for Human Rights; Samwel Mohochi, Executive Director of the International Commission of Jurists; and Nahason Kamau.
The MP said he is apprehensive that there is political conspiracy to prevent the Independent Electoral and Boundaries Commission (IEBC), as presently established, from conducting the fresh presidential elections.