The entrepreneur is giving “serious thought” to creating a new platform, tweeting about it on Saturday.
The idea came about after Musk blamed Twitter for not allowing free speech.
The Tesla and SpaceX CEO says Twitter’s failure “To adhere to free speech principles fundamentally undermines democracy”.
Musk has spoken out against his tweets being investigated by regulators.
November saw the billionaire subpoenaed by the US Securities and Exchange Commission after he asked his Twitter followers their thoughts on whether he should sell 10 per cent of his Tesla stock, which saw shares plummeting.
