A section of Jubilee MPs took to the floor of the House on Wednesday to chide their NASA counterparts for skipping the session.
The legislators said it is unfortunate that MPs affiliated to the NASA coalition are held at ransom by their leaders.
Principals of the National Super Alliance are Raila Odinga (ODM), Kalonzo Musyoka (Wiper), Musalia Mudavadi (ANC) and Moses Wetang'ula (Ford Kenya).
Some MPs referred to the NASA politicians as "frogs whose noise cannot hinder a cow from drinking water". Others said they are yet to realise they were elected to serve Kenyans' interests so they are "worshiping their masters".
The first Parliamentary session was held on Wednesday morning to appoint members of the House Business Committee.
The drama began before the nomination of MPs Amos Kimunya (Kipipiri), Shadrack Mose, Kawira Mwangaza and Joyce Akai was unanimously passed.
NASA MPs who skipped the session are yet to present their names.
Suba MP John Mbadi had moved a motion to postpone the appointment on grounds that Opposition representatives were attending their Parliamentary Group meeting to propose names.
But Ijaara MP Sophia Abdi said the Opposition coalition is taking the August House for a ride.
She accused NASA of propelling propaganda that the country is in a vacuum and that their intention is to frustrate the agenda of the House.
In his address at the official opening of the 12th Parliament on Tuesday, President Uhuru Kenyatta said there is no leadership vacuum.
Abdi said: "The country is not in a vacuum. We have laws and the three arms of government are in full operation.
"We should not allow side shows by those making a lot of noise. They are just like frogs that cannot prevent cows from drinking water. We must carry on with the core mandate."
Majority chief whip Benjamin Washiali said standing orders must be respected at all times and that Speaker Justin Muturi should not allow a section of MPs to derail activities.
"We must articulate the agenda of the President and support membership of the House Business Committee. These members have been carefully selected and reflect the face of Kenya so let those who think they can hold us at ransom stay out there as we proceed with our business."
Cecily Mbarire also said the Opposition is taking the 12th Parliament for a ride and urged the speaker to crackdown on legislators not taking House business seriously.
Joshua Kutuny said: "Our friends have a lot of problems to handle. They should not drag us into their affairs. Let them stay out there and put their house in order.
"We cannot put the business of the house on a hold because people are yet to agree on 'who to sit where'."
Murang'a woman representative Sabina Chege said the Jubilee side has enough numbers to conduct House business so sessions should not be derailed for the sake of those in opposition.
"We are much stronger than the previous House. We have numbers and can proceed with the order of the day," she said.
"Those who want to go to Kibera or wherever must know we cannot wait for them as Jubilee is ready for business."