For demodulating radio navigation signals (s(t)) transmitted in spread spectrum and comprising a data channel modulated by a navigation message and a pilot channel not modulated by a navigation message, the data channel and the pilot channel are combined into one multiplexing scheme so as to modulate a carrier, this method consists in applying de-spreading processing to the pilot and data channels' signals and in demodulating the de-spread data signal (r.sub.d) in order to obtain the navigation message , the demodulation of the de-spread data signal (r.sub.d) used to obtain the navigation message is performed using the carrier (r.sub.p) obtained from the dispreading processing of the pilot channel.