Twitter was not immediately available for comments.
Indian Computer Emergency Response Team (CERT-In) swung into action after reports that hackers gained access to Twitter's systems to hack accounts of many global corporate leaders, politicians, celebrities and businesses.
Cyber attackers had hacked into the Twitter accounts of global high profile users - including former US President Barack Obama, Democratic presidential front-runner Joe Biden as well as many corporate leaders including Amazon CEO Jeff Bezos, Microsoft co-founder Bill Gates and Tesla CEO Elon Musk - on Wednesday in a purported Bitcoin scam.