Governors have congratulated President Uhuru Kenyatta following the Supreme Court's decision on his October 26 win.
CoG chairman Josphat Nanok said they were looking forward to working with the Jubilee administration to protect devolution's gains.
In a statement on Tuesday, the Turkana boss asked the national government to allocate adequate resources to counties.
"The Council of Governors wishes your administration success," Nanok added on behalf of the 47 county governments.
They joined Britain, South Sudan, Uganda and Bangladesh which congratulated Uhuru on his second term victory.
China's Foreign ministry spokesman Lu Kang said the country was pleased to see the settlement of the dispute over State House within the legal framework.
"We congratulate [the President] on his re-election and sincerely wish that Kenya maintains peace and stability, and make greater achievements in national development."
Governors recently accused the National Treasury of withholding Sh74.7 billion for the 4th quarter beginning April 2017.
Other conflicts with the national government border on division of revenue, allocation of conditional grants and development partner funds.
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The messages came after the apex court unanimously dismissed two petitions challenging the October election results for lack of merit.
Separately, NASA and Jubilee affiliated governors agreed to initiate talks towards ending the sharp divisions following the disputed vote.
They did not specify the structure of the proposed conversations to end the row over electoral injustice.
This emerged during the kick-off of the 5th edition of the Kenya Inter-Counties Sports and Culture Association games at Machakos' Kenyatta stadium.
Alfred Mutua (Machakos), Mike Sonko (Nairobi), Ferdinand Waititu (Kiambu), Ali Roba (Mandera), Ali Korane (Garissa) and Wycliffe Oparanya (Kakamenga) were present.
The leaders called for peace and tolerance among Kenyans following the divergent views on the Supreme Court verdict.
"We have pledged to initiate dialogue amongst ourselves in order to unite Kenyans and move Kenya forward," Mutua told journalists.
"We will work together to fight tribal politics because no Kenyan should die because of politics."
Oparanya said Kenyans are facing a myriad of problems which can only be solved through discussions.
"As governors from both Jubilee and NASA, we shall sit together with our principals to rescue the country. We don't want any more deaths in Kenya."
Mutua extended his gratitude to the KICOSCA Committee for choosing Machakos county as the venue for this year's games.
He wished all participants the best in the week-long competitions.