Ferrogels based on polyacrylamide with embedded magnetic particles of strontium hexaferrite SrFe12O19 with their content up to 17.9 wt. % have been synthesized and studied. The enthalpy of adhesion of polyacrylamide to the surface of particles was determined by the calorimetric method using a thermochemical cycle. Its negative values indicate good adhesion. This leads to a significant decrease in the degree of swelling of ferrogels with increasing particle content. The modulus of elasticity of ferrogels was measured under uniaxial compression with and without an external uniform magnetic field of 27.5 mT. The effect of a uniform magnetic field of 420 mT on the magnetostriction of ferrogels has been studied. It has been shown that ferrogels based on polyacrylamide filled with strontium hexaferrite underwent universal stretching in a magnetic field, leading to an increase in their volume and additional swelling.