A method of progressive response for invoking and suspending blocking measures that defend against network anomalies such as malicious network traffic so that false positives and false negatives are minimized. When an anomaly is detected, the detector notifies protective equipment such as a firewall or a router to invoke a blocking measure. The blocking measure is maintained for an initial duration, after which it is suspended while another test for the anomaly is made. If the anomaly is no longer evident, the method returns to the state of readiness. Otherwise, a loop is executed to re-apply the blocking measure for a specified duration, then suspend the blocking measure and test again for the anomaly. If the anomaly is detected, the blocking measure is re-applied, and its duration is adapted. If the anomaly is no longer detected, the method returns to the state of readiness.