The police chief in Minneapolis resigned Friday amid an uproar over the death of an Australian woman who had called to report a possible sexual assault and was shot by a responding officer.

Chief Janee Harteau faced criticism over her handling of the incident last Saturday night, which ignited an international outcry. She did not appear before TV cameras until Thursday, saying she had been on vacation at a remote mountain location.

Minneapolis Mayor Betsy Hodges said she asked for the chief's resignation Friday and Harteau tendered it.

"I've lost confidence in the chief's ability to lead us further. And from the many conversations I've had with people around our city, especially this week, it is clear that she has lost the confidence of the people of Minneapolis as well," Hodges said in a statement.

Moments later the mayor announced her nomination of Assistant Police Chief Medaria Arradondo as Harteau's replacement. Arradondo has been the public face of the department during the crisis.

Many of the city's elected officials had expressed their displeasure with the police chief, and some suggested earlier Friday that they would like to remove her, the Minneapolis Star Tribune reported.

Damond, a 40-year-old meditation teacher and life coach, called police Saturday night after hearing noises she feared might have been those of someone getting raped.

Responding officer Matthew Harrity had been startled by a loud noise just before Damond approached the police car he was driving, prompting his partner Mohamed Noor to fire the fatal shot, authorities said.

The state's Bureau of Criminal Affairs (BCA), the agency investigating the shooting, said Friday that Noor continued to refuse an interview with authorities. But investigators located and interviewed a witness they had been seeking, the BCA said.

The witness had been bicycling near the scene of the shooting and had stopped to watch officers provide first aid. The BCA did not disclose what the witness told investigators.

Hundreds of marchers took to the streets of Damond's neighbourhood Thursday night, many carrying signs reading "Justice for Justine." Damond's family, through their attorney, said they want reforms in the police department.