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Mr Trump was suspended from his social accounts in January over public safety concerns in the wake of the Capitol riots, led by his supporters.
In a news conference from his golf resort in Bedminster, New Jersey, Mr Trump railed against social media companies and Democrats, who he accused of espousing misinformation.
None of the tech companies named have yet responded to the lawsuit, which was filed to a federal court in Florida.
Legal experts have pointed to Mr Trump's habit of issuing lawsuits for media attention but not aggressively defending the claims in court, since such lawsuits are unlikely to succeed.