The petition has sought direction to the authorities to forthwith suspend the surveillance.
The applicant did not seek any specific details such as cases, individuals, file noting from the ministry.
The petition, filed by Sarthak Chaturvedi, has alleged that some CBI officials have abused their powers by violating the existing guidelines on phone tapping and surveillance.
BJP MPs on Wednesday wrote a letter to Home Minister Rajnath Singh alleging that the Karnataka government is misusing its power and tapping their mobile phones.
A spokesman for Obama did not immediately respond to an email seeking comment.