Modulus of elasticity of steel wire rope (elastic modulus) is a characteristic value, which is important not only for users of the steel rope, but also for designers of machines and machinery that are equipped with the steel wire rope. Values of the elastic modulus depends predominately on the elastic modulus of the material, which the rope is manufactured from as well as it depends on the various other factors. The most important influencing factors are as follows: rope construction, type of core, angle and way of wire stranding, angle and way of rope lay as well as kind of lubricant. The real value of the elastic modulus has also impact on prolongation of the steel wire rope and on intensity of its dynamical loading. The rope elastic modulus value can be determined by means of the various methods. There are analysed in this article such methods for determination of the rope elastic modulus, which can be applied for a computer simulation.