Chief Justice of India NV Ramana lodged a police complaint on Monday afternoon after a Twitter account bearing his name was found posting fake messages on the social media platform.
Sworn in on Saturday, the Chief Justice does not have a Twitter, or any other social media, account.
The tweet - from the handle @NVRamanna - has been deleted and the account has been suspended.
The deleted tweet read: "Due to Ajit Doval's diplomacy, the US decided to supply raw materials to India #vaccination @PMOIndia".
The reference was to a late Sunday night announcement from the United States.
President Joe Biden said he would "immediately" make available sources of raw materials required to scale up production of the Covishield coronavirus vaccine.
Confirmation of the US' decision to release vaccine raw materials from a February embargo came after National Security Advisor Ajit Doval spoke to his American counterpart, Jake Sullivan.
CJI Ramana was sworn in as the 48th Chief Justice by President Ram Nath Kovind last Saturday in a brief ceremony at Rashtrapati Bhavan.
Vice president M Venkaiah Naidu, Prime Minister Narendra Modi and Union law minister Ravi Shankar Prasad were among those who attended the ceremony.
Hailing from Andhra Pradesh, Justice Nuthalapati Venkata Ramana will remain the top judge of the country till August 26, 2022.