The invention provides an amplitude-logarithm display method and system for azimuth sound wave cementing quality logging. The method includes the following steps that: effective waveform data in different azimuths of the same source distance of each effective depth point of the azimuth sound wave cementing quality logging are acquired; the head wave amplitude values, the logarithm values of amplitude mean values and the maximum values of the head wave amplitudes of each channel of waveform data are calculated through head wave windowing; the imaging color-scale modulation amplitudes of the effective waveform data corresponding to each effective depth point are calculated according to the logarithm values of the head wave amplitude mean values, the maximum values of the head wave amplitudesand the head wave amplitude values in each azimuth which are corresponding to each effective depth point; and logging imaging and display are carried out according to the imaging color-scale modulation amplitudes of the effective waveform data and preset color scales. With the method of the invention adopted, the amplitude difference of the head wave amplitudes of the azimuth sound wave logging in a depth direction and a circumferential direction can be fully presented; and channeling positions can be displayed more visually. The method and system are more effective under a condition that head wave amplitude values in different azimuths have a certain difference but the numerical values of the head wave amplitude values are generally relatively small.