Lawyer S K Mangalam filed the petition on behalf of Gyanendra Singh Gyanoo, Neeraj Singh Babloo, Ravindra Rai and Rahul Sharma.
Mangalam told reporters that the termination has been challenged as "unlawful and unconstitutional".
Speaker Uday Narayan Chaudhary had on Saturday last disqualified the four rebel JD(U) Legislators as members of the Assembly on the charge of working against the party during the recent bypolls to two Rajya Sabha seats in the state.
The MLAs were charged with working as proposers and polling agents of rebel candidates Anil Sharma, a real estate baron and expelled JD(U) leader Sabir Ali in the bypolls.
After RJD and Congress had extended support, the two official JD(U) candidates - diplomat-turned-politician Pawan Verma and Gulam Rasool Balyawi - had won from the two seats defeating the rebels.
In the petition, the MLAs have alleged that the Speaker's order violated 10th schedule of the Constitution, Gyanoo told PTI.
