A method and apparatus for client authentication using a pseudo-random number generation system. The pseudo-random number generation utilizes a secret key as well as state information as input into the hash function to generate a pseudo-random number. The state information that is part of the input can be any number of prior generated pseudo-random numbers. The authentication allows for synchronization of the client and server by exchanging state information. The authentication is not dependent on any absolute time and consequently the client and servers are not required to maintain a reliable shared time base.