DENVER — Three officers involved in the February death of a Hispanic man in Pasco, Wash., will not face criminal charges, the Franklin County prosecutor’s office said Wednesday.

The death of Antonio Zambrano-Montes, 35, led to a wave of protests in Pasco, a farming community of 68,000 in southern Washington that is more the 50 percent Hispanic, and came at a time of intense scrutiny of police interaction with minorities. A cellphone video showed Mr. Zambrano-Montes running through a busy intersection before turning to face officers and being shot multiple times. He had been throwing rocks when the officers tried to stop him.

The county attorney, Shawn Sant, said that the actions of the officers — Adrian Alaniz, Ryan Flanagan and Adam Wright — would not meet the state’s standard for a crime. The officers had every reason to believe Mr. Zambrano posed a threat, Mr. Sant said.

“In this case, there is no evidence that the officers did not act in good faith,” he said, “and certainly there is no evidence of malice.”