An acoustic while drilling receiving transducer array adopts a full-digital structure and a non-oil-filled rubber encapsulation arrangement mode, and the full-digital device of the acoustic while drilling receiving transducer array includes first modules, configured to carry out acoustic-to-electric conversion on weakly received acoustic signals of strata; second modules, configured to carry out amplification, filtering, gain control and digital-to-analog conversion on the weakly received acoustic signals; and a third module, configured to control interfaces of the device and convert external input and output signals.