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So far, engineers have proposed many authentication protocols to repair drawbacks of GSM system. Among them, Peinado's method can solve those and provide an anonymous channel for mobile users, an intruder therefore is unable to trace the identity and the location of the user. However, we find that authenticating VLR does not be performed at the first time when MS joins into a new visiting VLR to ask for communication service. We consequently propose a novel version which mutual authentication between VLR and MS is ensured at anytime. In particular, computation loads of MS and VLR can be decreased by 10% for confirming mutual authentication in Ticket Utilization Phase in comparison with Peinado's method.