Section 39 of the Elections Act provides that for a presidential election, the IEBC "shall electronically transmit, in the prescribed form, the tabulated results of an election for the President from a polling station to the constituency tallying centre and to the national tallying centre".
The Independent Electoral and Boundaries Commission (IEBC) has disputed allegations that their systems were hacked.
Two people were shot dead in the capital Nairobi on Wednesday, the city's police chief Japheth Koome said, claiming they took advantage of the protests to steal.
Earlier, Odinga published his own party's assessment of the count on Twitter, saying he had 8.1 million votes against 7.2 million for Kenyatta.
Mr Odinga told journalists that the details of the results so far released were fake, as the electoral body has failed to present documents verifying the results. He ran for president three times before this: In 2007 and again in 2013, he was the primary challenger.
"We have not established the motive yet, we don't know if it is political or if it's a criminal incident but we are investigating and action will be taken", he added.
"Force should only be used as a last resort, and even then only the bare minimum to prevent loss of life", said Muthoni Wanyeki, Amnesty International's regional director for East Africa, the Horn and the Great Lakes.
Emotions are high after a bad-tempered campaign marred by opposition claims of a plot to rig the vote, and counting is considered the most sensitive part of the process in a country with a history of post-poll violence.
He urged Kenyans to safeguard the stability of the country.
Yoweri Museveni of Uganda was reelected in 2016 after defeating his closest opponent by more than 20 percentage points.
Former U.S. secretary of state John Kerry is part of the international election observation mission.
Odinga said his agents met IEBC officials to resolve the stalemate.
Violence following Odinga's challenge of the result a decade ago resulted in at least 1,300 deaths and 600,000 people displaced from their homes, per the Times.