Mr Musk did not say how the process would be done.
He ran a poll in which users narrowly supported his decision to restore Donald Trump's account.
The former US president doesn't see any reason for him to return to the platform.
He is going to run for the presidency of the United States in 2024.
The suspension of his account was due to the risk of inciting violence after the Capitol storming.
The accounts of Ye and Andrew Tate have been reactivated.
The Sandy Hook school shooting in the US, in which 20 children and six adults were killed, was a hoax and Jones has been forced to pay over one billion dollars in damages.
Mr Musk said that he had no mercy for anyone who would use the deaths of children for politics or fame.
He had previously said that no decision about banned accounts would be made until a board was in place.
On October 28th, Mr Musk completed his purchase of the micro-blogging site.
Half of the firm's 7,500-strong workforce has been laid off, and hundreds more are believed to have left, after an email said that hardcore work would be required of those who remained.