The average operator salary at Bremerton was $32,211 , which is 23 percent lower than the average salary for this job in Washington, and 34 percent lower than the national average for this job . Operator salaries at Bremerton typically range from $27,507 to $36,505 (25th to 75th percentile). The highest reported operator salary was $49,347. There are 29 employees at Bremerton with the job title operator.