Two white police officers who led a black man by a rope down a street in Galveston, Tex., this month will not face criminal charges, the authorities said on Sunday, resolving one of two outside inquiries into the officers’ conduct.

The Galveston Police Department had asked the Texas Ranger Division of the state’s Department of Public Safety to review whether the officers committed any crimes.

“The Texas Rangers conducted an inquiry into this matter, which has since been completed,” the public safety agency said in a statement. “The Rangers subsequently conferred with the Galveston County District Attorney’s Office, which determined that there was nothing that warranted a criminal investigation.”

Donald Neely, 43, who relatives say is mentally ill and has often slept on the streets, was arrested Aug. 3 on a criminal trespassing charge. When a police vehicle was not immediately available, mounted officers escorted him by rope to a nearby staging area, the police said.