INTERNATIONAL NEWS - Mr Taylor's lawyer says the suspension of his account is a form of censorship, accusing Twitter of discrimination.
Twitter declined to comment on the case but has previously said that its tools are "apolitical".
Mr Taylor is head of American Renaissance, a website that champions "racial difference".
He had his account suspended in December, with Twitter explaining that it prohibited accounts affiliated with the promotion of violence, something Mr Taylor denies applied to him.
Mr Taylor has filed his case in California, in the state Superior Court in San Francisco. He argued that Twitter violated Californian law protecting free speech in public spaces - a law that has not previously been applied to the internet.
His lawyer Noah Peters wrote online that everyone should be "terrified" about what he called Twitter censorship.