Tharaka Nithi Senator Kithure Kindiki was named the Senate's deputy speaker after getting 38 votes in the Thursday election.
Ledama ole Kina got 17 votes in the exercise that 12 members missed and which did not have spoilt votes.
While taking the oath of office, Kindiki said: "...I will bear true faith to the people of Kenya and faithfully discharge my duties."
Kindiki and his Narok counterpart were the only applicants for the seat as at Wednesday evening, according to Senate clerk's office.
Kina did not get support from his colleagues following NASA's resolve that its members will not participate in any parliamentary activities .
This is until the fresh October 17 presidential poll is conducted and a new President is sworn in.
Should they skip eight consecutive sittings without the speaker's permission, their posts could be declared vacant.
Jubilee has maintained Parliament activities will go on despite NASA's boycotts.
The Senate session was presided over by Speaker Kenneth Lusaka.
The team is expected to approve Jubilee's seven members to its House Business committee.
They include Lusaka, majority leader Kipchumba Murkomen (Elgeyo Marakwet Senator), deputy majority leader Fatuma Dullo, majority Whip Susan Kihika and Senators Johnson Sakaja (Nairobi), Samwel Poghisio (West Pokot) and Mohamed Maalim (Mandera).
The Opposition is also yet to agree on members who will represent it in top House leadership positions such as minority leader, chief whip and deputies.
The House will also approve the schedule for disbursement of county government cash for the 2017-18 financial year budget.
This afternoon, the National Assembly continued its debate on the address President Uhuru Kenyatta's issued when he opened the 12th Parliament.
Siaya James Orengo criticised the speech to the joint sitting saying Uhuru was too brief since "he knew he was in breach of the constitution and the law".
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