The resignations leave only two commissioners and the chairman at the Independent Electoral and Boundaries Commission (IEBC) which last week sent its chief executive on three months' compulsory leave pending an audit on procurement matters.
"Chebukati, Molu and Guliye must resign from IEBC within the next 7 days or we form a Tribunal to investigate them", Mr Murkomen tweeted, minutes after the three Commissioners - Connie Maina, Margaret Mwachanya and Paul Kurgat - resigned from IEBC.
Dr Mulyungi said the decision by the commissioners to quit gives credence to the concerns raised by NASA during and after the 2017 August general election.
"For far too long and way too many times, the Commission's Chair has failed to be the steady and stable hand that steers the ship in hard times and gives direction when needed".
"This race to chase ghosts that do not exist must stop".
While reacting to Monday's resignation of three IEBC commissioners, House Majority Leader Aden Duale on Tuesday said the Justice and Legal Affairs Committee (JLAC) will move with speed to set the amendment in motion.
IEBC commissioners Paul Kurgat, Margaret Wanjala and Vice chairperson Consolata Nkatha announce their resignations during a press conference in Nairobi, April 16, 2018. "The chairman could have waited for an appropriate time - when all the commissioners are in the country - to properly call a sitting to deliberate on the matter", they said.
"As such we are requesting the relevant government organs to act appropriately to ensure the commission's operations are not stifled", he appealed.
"Parliament is yet to enact legislation providing for the recruitment of commissioners subsequent to the first appointment or replacement in the event a vacancy occurs, further to paragraph 1 (2), First Schedule, IEBC Act", Chebukati stated in a statement.
"Without a doubt a doubt it undermines the legitimacy of the Jubilee administration and confirms that its election was an electoral fraud", he added.
The commissioners handed Chebukati a sweeping condemnation for incompetence saying he has made IEBC a dysfunctional body.
The Senate Leader of Minority noted Kenya will experience both political and constitutional crisis should the commission's Chairperson Wafula Chebukati not resign.