Trump's lawyers filed an injunction against Twitter and CEO Jack Dorsey in a federal court in the state of Florida.
Twitter "exercises a degree of power and control over political discourse in this country that is immeasurable, historically unprecedented, and profoundly dangerous to open democratic debate," said his lawyers.
The account actively used by the Taliban administration in Afghanistan was mentioned in the petition as an example of how the company selectively applies rules.
Twitter, YouTube and Facebook permanently suspended Trump's accounts on Jan. 6 due to allegations that he contributed to the riot at the Capitol building and irregularities in the US’ 2020 presidential election.