Mr. Rajagopal had attracted widespread condemnation.
All political parties have demanded action against unruly MPs. Government has already said it would not oppose whatever decision the Speaker takes in this regard.
The Speaker's decision to refer the matter to the Parliamentary panel came on the eve of a meeting of the Committee on Security in Parliament complex which will go into the various issues of security including frisking of MPs.
Meira Kumar has directed that the Committee, headed by Deputy Speaker Karia Munda, hold the meeting to consider the events on Thursday.
The Lok Sabha Secretariat said the decision to refer the matter to the Privileges Committee has been done under Rule 227 of the Rules of Procedure and Conduct of Business in Lok Sabha.
The function of the panel is to examine every question involving breach of privilege or contempt of the House or of the members of any Committee thereof referred to it by the House or by the Speaker.
The Committee of Privileges is the Committee which has powers to recommend punitive measures. The punitive measures include imprisonment and even expulsion, among others.
On February 13, the Speaker had named 16 members who stood automatically suspended from the service of the House for five consecutive sittings under Rule 374A, in the wake of the incidents.