A bench headed by Chief Justice S.A. Bobde and comprising Justices B.R. Gavai and Surya Kant said there is already so much violence involved in the protests.
The Chief Justice observed that the country is already going through difficult times, and the endeavour should be to restore peace, and such petitions in the matter do not help the cause.
The court's observation came on the mentioning of a petition filed by an advocate Vineet Dhanda seeking the listing of his plea to declare CAA constitutional and also direction from the court to all states to implement it.
Dhanda moved the apex court to defend constitutionality of CAA, and also sought action against activists, students, media houses spreading "false rumours".
The court, putting a query to the lawyer, said: "Who wants CAA to be declared 'constitutional', and how can this court declare that an Act passed by the Parliament is constitutional?"
The court observed that there is always "a presumption of constitutionality, and being a student of law, you should know".
The court also observed that it was unusual to hear somebody seeking a declaration from the court that an Act is constitutional.
The bench said that the job of court is to determine validity of a law and it is not its job to declare it constitutional.
( With inputs from IANS )