The natural frequencies of vibration and the corresponding mode shapes of a suspension bridge with varying bending stiffness of cables are determined, and the changes that occur in these characteristics with respect to parametric changes in the bridge are examined. Single span L = 64,0 m suspension steel footbridge with hangers and flexible cables is selected as an initial model used to study the dynamic characteristics of a suspension system. Based on FEA parameter studies are presented in which the vibration characteristics are studied as a function of structural and material parameters, such as cable flexural stiffness, modulus of elasticity and mass density of structural components. It is generally found that the main cable bending stiffness contributes a considerable effect on the natural frequencies of the suspension system.