The injured third-grader was airlifted to Seattle's Harborview Medical Center, where she underwent surgery Wednesday afternoon so doctors could assess her injuries, hospital spokeswoman Susan Gregg said.
Police said a third-grade boy was being questioned and a firearm was found in a classroom. No other details about the shooting were immediately available.
The Bremerton Schools superintendent's office said the girl was shot in the abdomen.
Bremerton police Lt. Peter Fisher said officers and emergency crews were dispatched to Armin Jahr Elementary school in Bremerton around 1:30 p.m. in response to a call that a student was shot by another student.
The school went into lockdown immediately after the shooting, said Bremerton Schools spokeswoman Patty Glaser. Lockdown procedures call for announcements to be made over the school's loudspeakers and for teachers to lock their classrooms, she said.
Armin Jahr Elementary has about 400 students, Glaser said. She said the school will reopen Thursday and three counselors will talk to teachers, students and parents.
"Our plans at this time, school will continue as usual," Glaser said.
When asked how a gun was brought into the school, Fisher said police were still investigating the circumstances and couldn't provide details.
Police were working with the school district Wednesday afternoon to reunite parents with their children, Fisher added, and investigators were interviewing witnesses, which included students.
As of mid-afternoon, parents were still arriving to pick up their children from the school in a quiet residential neighborhood. A police officer was checking vehicles as they entered the parking lot.
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