Method for acquiring a plurality of GPS signals, in which the signals received from the space vehicles are correlated, in an array of parallel processing modules (20) with local replicas of a pseudorandom code. The local pseudorandom code generators are slewed periodically, on detection of an external periodical trigger INT_ACC, and the correlation data are dumped simultaneously to all processing modules in output registers for acquisition and tracking software. The integration period is shorter than the natural period of the pseudorandom code sequence, and all the local generators are slewed at the same time, thereby allowing a quicker acquisition of the SV C/A code.