In connection with the extreme urgency of determining the volume of blood loss during the forensic examination of a corpse, the authors proposed a modern digital analysis method - multichannel Muller matrix tomography of human biological tissues. Aim of the work. To develop a complex of forensic criteria for accurate determination of the volume of blood loss using the method of multichannel polarization Müller-matrix tomography of histological sections of structured biological tissues (rectus abdominis muscle, skin). Material and methods. For the study, rectus abdominis muscle and skin samples were taken from 85 deceased individuals aged 18 to 56 years with varying degrees of blood loss. The results. The proposed method of researching changes in the values of linear birefringence of fibrillar structures of the rectus abdominis muscle and skin of of cadavers as a result of acute internal and external blood loss showed the possibility of accurate determination within the volume of 0±2000 mm3. Conclusions. The method of multichannel differential Müller-matrix tomographic reproduction of a set of linear birefringence maps and histograms of distributions of random values of the structural anisotropy parameter of histological sections of the rectus abdominis muscle and skin of the dead with different degrees of blood loss is sensitive within ΔV=0mm3÷2500mm3. The accuracy ranges of the multi-channel tomographic reproduction of LD maps within the range of ΔV=0mm3÷1000mm3 ↔86%-92% have been determined.