The cavitation tensile strength of a liquid for simple materials by the example of argon has been studied using molecular dynamics methods. Results on the negative tensile pressure have been obtained within the temperature range from 85 to 135 K. The tensile strength of liquid argon organization has been studied theoretically using the Redlich-Kwong equation of state. These approaches are in good agreement. Comparison with the earlier results of other authors has been performed. The test of the determination of the tensile pressure by molecular dynamics methods for homogeneous systems will make it possible to analyze qualitatively the cavitation strength in multicomponent systems as well as during consideration of heterogeneous nucleation, where the theoretical studies are extremely troublesome.