In a fiber strain sensing system, strain sensing cable is usually used as a sensing element instead of bare fiber.Therefore, it is necessary to explore the high stress transfer performance of a strain sensing cable.Combining Lame formula and generalized Hooke's law, this paper establishes theoretical models for a tight-jacketed sensing cable and a reinforced sensing cable based on elasticity mechanics and deduces the relationship between the strain of the cable and its stress. Then it does the simulation and experiment on samples of these two typical types of sensing cables by using Brillouir Optical Time-domain Reflectometer(BOTDR) to detect the strain of the cables. The results of theoretical calculation and the experimental measurement show that the linear rates of all the results are more than 97%, and the differences of the slope between the theoretical calculation and the experimental measurement are less than 8%, which proves the models to be effective.The models can provide a basis for stress sensing systems in determining the stress situation for an objective.