On South Sudan, the Kenyan leader said that his country, together with other regional partners, has remained fully engaged in finding a lasting solution.
The truce comes months after Kenyans went to two violent elections in the last quarter of 2017.
In a live television address with Mr. Kenyatta on the steps of the president's office, Mr. Odinga said the time had come to resolve their differences.
Mr Donald Yamamoto, the acting assistant secretary of state for African Affairs, has said although the USA is not ignoring the Opposition, Mr Tillerson is not expected to meet with Mr Odinga.
US Secretary of State Rex Tillerson has cancelled scheduled events in Kenya on Saturday because he is feeling poorly.
His planned schedule on Saturday had included a visit to a US-funded HIV/AIDS programme and attendance at a ceremony marking 20 years since Al-Qaeda bombed the U.S. embassies in Kenya and Tanzania, killing 224 people.
At one point, Mr Odinga asked Mr Godec and other 10 envoys to keep off Kenya's political affairs after calls that he should accept the legitimacy of President Kenyatta.
At Tillerson's two news conferences on Friday, in Djibouti and Nairobi, the typical arrangement for news conferences involving the secretary and his counterpart in the host country were changed, American reporters travelling with Tillerson said.
Police investigating after woman rides horse into Miami nightclub
Mokai Lounge has not posted anything about the incident at this time, but angry Facebook users continue to let their thoughts be heard on the club's page.
Mr Tillerson assured President Kenyatta that his country was also keen to see continental reforms of the business environment but was glad that the judicial reforms in place meant contracts were respected and there was a clear path on investment.
Odinga said: "the conflict is over" and called on the country to "reconcile and move on".
He said they have agreed to stop any dissent immediately and not to allow the country's diversity to kill their nation.
The Kanu MP at the same time told off NASA co-principals Kalozo Musyoka and Musalia Mudavadi over their complains that Odinga had meet with Uhuru without their knowledge.
"The US should not be dismissed or discounted".
Kabando, who lost his seat in the last general election, said the two leaders had shown that Kenya has reached a new level of maturity in politics. "They have successfully engineered this", said Aly Khan Satchu, an independent analyst in Nairobi.
Moses Kuria, a legislator for Mr Kenyatta's Jubilee party, said the meeting could be the start of ending the cycle of disputed elections and their ruinous impact on economic growth.