Security protocols are not as secure as we assumed. In this paper, we identified a practical way to launch DoS attacks on security protocols by triggering exceptions. Through experiments, we show that even the latest strongly authenticated protocols such as PEAP, EAP-TLS and EAP-TTLS are vulnerable to these attacks. Real attacks have been implemented and tested against TLS-based EAP protocols, the major family of security protocols for Wireless LAN, as well as the Return Routability of Mobile IPv6, an emerging lightweight security protocol in new IPv6 infrastructure. DoS attacks on PEAP, one popular TLS-based EAP protocol were performed and tested on a major university's wireless network, and the attacks were highly successful. We further tested the scalability of our attack through a series of ns-2 simulations. Countermeasures for detection of such attacks and improvements of the protocols to overcome these types of DoS attacks are also proposed and verified experimentally.