The Election Commission had declared incumbent Uhuru Kenyatta the victor by a margin of 1.4 million votes.
After the address, President Kenyatta started his campaigns immediately at Burma market in Nairobi, vowing to change the face of Nairobi and sell what he said was the best manifesto yet. "That is the nature of democracy".
Speaking later at a rally, he also condemned the worldwide election monitors who said there had been no major issues.
Maraga said this was a majority decision, with two judges dissenting.
The lawyer representing the elections body, Paul Muite, said the election regulations did not specifically have strict requirements for the security features on the result declaration forms.
IEBC Chairman Wafula Chebukati has vowed not to resign because he was not "personally touched by the Supreme Court ruling".
The court however noted that the Court found no evidence in the misconduct on the part of the third respondent who is President Uhuru Kenyatta.
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The two days of court hearing concluded Tuesday night with the presentation of a report by a Supreme Court team of information technology experts, which showed the country's electoral body failed to comply with the technology rules and regulations when it conducted the August 8 presidential polls.
The Kenyan leader had won a second term on 8 August with 54% of the vote, but the court has now decided the poll was not conducted in line with the constitution.
Raila Odinga, Mr Kenyatta's opponent, said the commission was "rotten" and demanded resignations and prosecutions.
The son of Kenya's first vice president, Odinga was heir to one of its foremost political dynasties and de facto leader of the Luo people in the west, an area that has long felt neglected by central government.
Kenyatta and Odinga will face off in a runoff election within 60 days according to the constitution.
Speaking after the Supreme Court judgment on Friday, Mr. Odinga said he also had questions concerning will who will oversee the next election. "We are ready but can not repeat the election with this commission".