Due to the need of expansion of the range of fish products of the guaranteed level of safety there is a need of studying of different types domestic fish raw materials and a possibility of its commercial production. Respectively, for a fishery industry of Ukraine the Black Sea dogfish has industrial value. Efficiency of entering of a dogfish in a food allowance of our compatriots requires scientific reasons for conditions and storage durations of fish raw materials which indicative criterion of suitability can be rheological properties. The purpose of work is to establish connection of structural characteristics of the Black Sea dogfish with elastic properties depending on conditions and a storage duration. Uneven-age, heterosexual individuals of the Black Sea dogfish were an object of a research. Experimental cuts of samples of muscular tissue carried out from different parts of carcass of a shark (about the head, the middle and a tail part). Researches were conducted on the multipurpose measuring complex "MIG - 1.3" by the module on deformation studying by method of axial stretching. Sensors of the module of a measuring complex during the experiment fixed in real time change of resultant force in case of deformation that was reflected in the display of the computer. Comparing the received schedules deforming forces for various cuts directly we compare deformation time, size deforming forces and time of a relaxation (recovery). The highest rates deforming forces are noted in dogfish right after catch - from 4,1 ÷ 3,7 N, after the first freezing we fix reduction of size deforming forces from 3,9 ÷ 3,1 N, specifies reduction of elastic properties of the researched object. At last after the second, long, freezing these indicators sharply fall and already constitute 1,5 ÷ 1,18 N, specifies considerable losses of elastic properties of an object and violation of its structure. For establishment of communication of elastic properties of samples with structural properties of the researched object the physical model of deformation on stretching was used. Deformation from absolute lengthening rather high coefficient of approximation - 0,9932 is valid the equation of regression of dependence. The provided physical and mathematical model of process was checked experimentally and gave very good coordination. The deformation force and its numerical values depend on elastic properties of the studied objects. Its increase speaks about change of structural (morphological) properties of dogfish. Losses by the researched humidity object depending on storage conditions, lead to change of density and coefficient of elasticity of a body