The present paper considers the influence of yield strength on static and dynamic behaviour of cylindrical contact interface. The semi-cylinder is assumed to be in plane stress condition. A quasi-static analysis is executed by means of finite element (FE) software package ANSYS 18.2 to obtain several contact parameters. A key parameter, quantifying nonlinearity for the single-asperity cylindrical contact system is educed from the interference-contact force plot. The dynamic characteristics of the cylindrical contact interface is investigated by utilizing this parameter. In order to investigate the same, the contact interface is represented by a single degree of freedom spring-mass-damper system and the analysis is carried out for free-undamped as well as forced-damped vibration. It is found that, with higher Young’s modulus, the dynamic contact system becomes more nonlinear in nature. It is found that, with lower value of yield strength, the dynamic contact system becomes more nonlinear in nature. Moreover, the contact system is found to possess hardening type of nonlinearity.