The repeat polls were as a result of the a majority of the judges, led by Chief Justice David Maraga and his deputy Philomena Mwilu, nullifying the August 8 presidential election over what they termed as widespread irregularities and illegalities.
"As a outcome, the presidential election of 26th of October is hereby upheld", Maraga was quoted as saying.
The youths who were protesting the court's decision barricaded roads leading to Kawangware 56 area.
Another issue identified for determination by court is, "What is the effect of a declaration of invalidity of the presidential election under Article 140 of the constitution?" On Tuesday, it dismissed two petitions against his October 26 victory, saying they lacked merit.
Unlike in August when violence erupted and property was destroyed immediately after President Kenyatta was declared victor of August 8 poll which was later nullified by the Supreme Court, there was relative calm Monday and streets seemed deserted as most of the residents chose to stay indoors and watch what was happening outside from windows of their houses.
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The opposition leader, Raila Odinga, whose legal challenge led to the nullification, boycotted the repeat election.
"It was a decision taken under duress".
"If Baba says that we accept the verdict of the court and move on, I won't have [a choice] but to accept [it]. That was not an election and we will continue opposing him", said one resident of the opposition stronghold of Kisumu city, Wycliffe Onyango.
The opposition had staged demonstrations and called for a campaign of civil disobedience.
The roughly even division between Kenyatta and Odinga supporters is based largely on ethnic lines, between the Kenyatta's Kikuyu tribe and Odinga's Luo, raising the fears of ethnic clashes.