One of the most important problems to be solved in Direct Sequence Spread Spectrum systems is to achieve a robust acquisition of the pseudonoise sequence. In multiuser time-varying environments this fact becomes even more important because acquisition and tracking performance can heavily degrade communication reliability. In this paper a new neural network estimator is presented, and it is compared to the performance of a fuzzy logic acquisition estimator [11] and stability acquisition estimator [16] in the multiresolutive acquisition system. The new neural network acquisition estimator improves the results for both fuzzy logic and stability estimators, through the estimation of the probability of being acquired and the signal to noise ratio for single user and multiuser communication.