A system and a method for detecting anomalous attacks in Internet network flow operate by counting a number of Internet traffic messages that are detected as anomalous attacks to provide a count; computing a running average of the number of messages that are detected as anomalous attacks; and comparing the count to the running average to provide an anomalous attack alarm if the count is greater than a multiple of the running average. The attacks can include at least one of spoofing attacks or denial of service attacks. A computer readable storage medium stores instructions of a computer program, which when executed by a computer system, results in performance of steps of the method.