A method for generating and receiving fractional Fourier transformed domain frequency hopping signal relates to a method for generating and receiving a fractional domain frequency hopping signal. The aim of the invention is to settle the problems of higher error rate, interference resistance and inferior shielding ability in the conventional narrowband communication mode. The information source outputs the digital information code element c (t). The Chip signal generator outputs the Chip carrier signal f (t) with different parameters k real time according to the frequency hopping pattern. The c (t) and the Chip carrier signal are transmitted into the waveshape generator for modulating, when the digital information code element c (t) is 1, a group of Chip signals with parameter for k are generated and the k satisfies the relationship k>0, and when the digital information code element is 0, a group of Chip signals with parameter for k are generated and the k satisfies the relationship k<0. The antenna at the transmitting end transmits the frequency hopping signal. The received frequency hopping signal is executed with discrete p-stage fractional Fourier transform after passing through the wave filter, and the transformed result is recorded as fp (u). When the peak value position of fp (u) <2> appears at front half part of the energy spectrum of the fractional field, 1 is outputted, and when the peak value position appears at the back half part of the energy spectrum of the fractional field, 0 is outputted and the demodulating information is obtained.