YSRC MLA Kotamreddy Sridhar Reddy and others were signatories to the notice seeking to move the no-confidence motion against the Speaker.
The notice was handed over to the Legislature Secretary (in-charge) K Satyanarayana Rao ahead of the start of the day's proceedings.
At least 50 legislators are required to support the motion when it is moved for the leave of the House for the no-confidence motion to be admitted.
The motion was defeated by voice vote at the end of a nearly nine-hour acrimonious debate in the House late last night.
YSRC President Y S Jaganmohan Reddy admitted in the House that they moved the no-confidence motion against the government only to get eight of their party MLAs, who recently crossed over to the ruling Telugu Desam, disqualified.