The Minneapolis police chief, Janee Harteau, resigned on Friday at the mayor’s request, less than a week after one of the city’s officers fatally shot an unarmed Australian woman who had called 911 for help.

Mayor Betsy Hodges said in a statement that “I’ve lost confidence in the chief’s ability to lead us further” and that “it is clear that she has lost the confidence of the people of Minneapolis as well.”

The fatal shooting of the Australian woman, Justine Damond, last weekend by Officer Mohamed Noor led to outpourings of grief in Minnesota and outrage in Ms. Damond’s home country, where the prime minister condemned the shooting and Ms. Damond’s family members have expressed frustration with how little they have been told about what happened.

Last Saturday, Ms. Damond, 40, called 911 twice to report a possible sexual assault near her home. Officer Noor and his partner, Officer Matthew Harrity, arrived at the scene in a dark alley several minutes later. Officer Harrity told state investigators that he had been startled by a loud noise just before Ms. Damond approached their cruiser. Officer Noor then shot her through the open window.