Over the last decade, there has been a significant development in the study of stochastic dispersive PDEs, broadly interpreted with random initial data and/or additive stochastic forcing, where the difficulty comes from roughness in spatial regularity. In this talk, we consider the well-posedness of stochastic nonlinear wave equations with multiplicative noises, whose Itô solutions were constructed in 80's. Results on pathwise well-posedness for stochastic nonlinear wave equations (SNLW) will be presented. The main challenge of this problem comes from the deficiency of temporal regularity. We overcome this issue by bridging controlled rough paths and the Fourier restriction norm method.