In order to study the influences of network coupling strength, subnetwork edge, and coupling edge of interdependent networks on the network robustness, symmetrically and asymmetrically coupled interdependent network models are constructed based on three typical network models. Firstly, we calculate the cost thresholds of six different interdependent networks, and find that the coupling edges have a greater influence on the cost of interdependent network than the edges of sub-networks. Furthermore, the relationship of the two parameters (α, β) with the cost of network is obtained by simulation and theoretical analysis, and the cost of network correlated with the two parameters is proved. Finally, by setting the cost of network as a variable measuring the robustness, the simulations on interdependent networks for suppressing cascading failure provide the values of the parameters corresponding to the strongest robustness and the relationship between the robustness and the coupling strength, and it is found that the robustness of network neither increases nor decreases monotonically with the increase coupling strength.