"A case has been registered by the Economic Offences Wing (EOW) under Section 66 of the IT Act. Twitter has been asked to provide details of log of the account for investigation purpose," said Dependra Pathak, Delhi Police spokesman and Joint Commissioner (Southwest).
Lt Governor of Delhi Najeeb Jung has also been briefed by the police regarding action being taken in this matter, said a senior officer.
Police said they were trying to locate the suspect by tracking the IP address used to break into the official account of the Congress leader.
The official Twitter account of the Congress has also been hacked this morning and a string of unsavoury messages posted.