The lawsuit is the first to be brought against the former president by Capitol Police officers. The force has more than 2,000 officers.
Lawyers for the officers and for Mr. Trump could not be reached for comment early Wednesday. Mr. Trump has previously denied responsibility for the attack.
The complaint said the “insurrectionist mob” that stormed the Capitol was “spurred on by Trump’s conduct over many months in getting his followers to believe” his false assertions of widespread electoral fraud in November. The complaint also said that Mr. Trump’s supporters believed swarming the Capitol was their last chance to stop Mr. Trump from being unfairly forced out of the White House.
Mr. Trump “inflamed, encouraged, incited, directed, and aided and abetted” the mob that overran the building and attacked police personnel inside, the complaint said. It cited Mr. Trump’s Jan. 6 speech and other conduct, including what it said was his failure that day to “take timely action to stop his followers from continued violence.”
During the attack, Officer Hemby, an 11-year veteran of the Capitol Police, was outside the building, crushed against the side and sprayed with chemicals that burned his eyes, skin and throat, the complaint said. One member of the mob screamed that he was “disrespecting the badge.”