Bluesky was developed by Twitter co-founder Jack Dorsey, and visually looks how X used to look back in its Twitter days.
Mr Dorsey is no longer part of the team behind it, having stepped down from the board in May last year, and the platform has experienced a surge in sign ups since the results of the US election.
Elon Musk, the owner of X, was a major backer of Donald Trump during his campaign.
He will also be heavily involved in the President's administration after being named co-head of the new administration's Department of Government Efficiency.
Political division has lead to some people leaving X in protest since the election, and Bluesky appears to have benefitted.
In September, the company said it had nine million users. This week, it surpassed 20 million.
However that remains far behind X, as well as Threads, a rival platform set up by Meta, the owner of Facebook and Instagram.