The invention discloses a tanning process for making a fur-bearing animal specimen. The tanning process comprises the steps of removing meat from a fresh hide which is just peeled off from an animal carcass, shaving and cleaning the hide and then draining off excessive moisture, dipping in a degreasing solution for degreasing, washing with warm water and throwing away moisture on the hide, dipping in an acidizing fluid for pickling, evenly shaving the hide and dipping the hide in a neutralizing solution for neutralization, putting in a tanning agent for tanning for 12-24 hours, regulating alkali 1 hour later after the hide is put in, regulating alkali by one gram at a time and total three times at an interval of 2 hours, and stabilizing the final pH within the range from 3.5 to 4.0 and finishing tanning. The hide plate tanned by the tanning process is light, soft, white and good in extensibility; the fur is loose and soft, and bright; the hair of the animal is permanently fixed on the leather which is high in tensile strength; and the animal specimen is easier to fur and sew, and also is resistant to corrosion, mothproof, shrinkage-proof, deformation-proof, and environment-friendly.