Definitions of notice of motion
an act of officially telling other parties involved in an activity, meeting, or the administration of an entity etc that someone will make an official proposal at a particular time
Councillor Nicola Young lodged a Notice of Motion for the whole Council to take over the decisions.
an official document telling one side in a legal action that the other side will make an application to the court (=ask the court for something); a written application to the Court after a case has started asking the court to make an order about something
The Law Society of Upper Canad stated in a notice of motion that there were "reasonable grounds" to believe the developer "mishandled and lost approximately $14.9 million."