The performance analysis of hybrid direct- sequence/frequency-hopped spread spectrum multiple-access communication system over additive white Gaussian noise chan- nels in asynchronous environment is reviewed. Binary phase shift keying is considered as base modulation for data signals. Random binary signature sequences as spreading codes and hopping patterns are employed. Several numerical results and graphs help in determining the optimal tradeoff between various performance parameters of the hybrid spread spectrum multiple access (HSSMA) system. Multiple access capability of the system is examined with respect to transmission of maximum simultaneous signals and corresponding error probability. It is devised that under the identical bandwidth expansion and same modulation scheme along with random signature sequences and hoping pattern, the multiple access capability of hybrid spread- spectrum system is considerably better than frequency-hopped spread spectrum (FHSS) system. But under same conditions, directsequence spread spectrum (DSSS) system performance is superior to H-SSMA system. Generation and performance analysis of different types and lengths of pseudo-random binary sequences are discussed in necessary detail, for use in spread spectrum multiple access scenario. Impact of code length, number of available hopping frequencies with respect to total number of users, signal to noise ratio at the particular receiver, variation in hopping speed with respect to data rate and tolerable error probability for the total number of possible simultaneous trans- missions is determined, to achieve optimum performance of the H-SSMA system.