Supporters of the Jubilee party have threatened to hold daily demonstrations in various parts of the country if their demands are not met.
The protesters launched their demonstrations on Tuesday following a damning report that revealed details of alleged secret meetings between two Supreme Court judges and National Super alliance (NASA) leaders.
Demonstrations were first witnessed in the country's capital when supporters gathered at the Supreme Court grounds armed with placards labelled: "#WakoraNetwork Judiciary=Evil Society".
In Uasin Gishu, the Jubilee supporters demanded that the Judicial Service Commission (JSC) immediately sack the two Supreme court judges, Isaac Lenaola and DCJ Philomena Mwilu, accused of colluding with NASA.
In Nyeri, the protesters demanded that the Supreme Court order a recount of the presidential ballots cast during the August 8 election, echoing sentiments previously expressed by President Uhuru Kenyatta.
Nakuru Town East MP David Gikaria led protests in Nakuru County, blocking traffic along the Nakuru-Eldoret Highway as they called for the sacking of the two judges as well as a recount of the votes.