The compliance of the tangent bipod kinematic mount was investigated in order to realize the design of high precision kinematic mount. The design principle of the tangent bipod kinematic mount was introduced in detail. The equivalent compliances Cx, Cy and Cz of the bipod in the X-axis, Y-axis, and Z-axis directions were deduced based on the compliance equations of the single-axis right circular flexure hinge. The compliance equations of bipod were verified by the finite elements and experiments. The results show that the theoretical results are in agreement with the finite element results and experimental results, and the deviation is less than 9.8%. The influence of the flexible groove depth R and minimum thickness t on the compliances of the bipod was analyzed. It was concluded that the equivalent compliances Cx, Cy and Cz of the tangent bipod were proportional to the flexible groove depth R and inversely proportional to the minimum thickness t. It provides a theoretical reference for the design of tangent bipod kinematic mount which is widely used to support scientific instruments in space camera.