This article extracts exact solutions for the perturbed nonlinear Schrödinger’s equation (PNLSE) with Kerr law nonlinearity forced by multiplicative noise in It^o sense by utilizing the unified solver method. The presented solutions involve three types: rational function, trigonometric function and hyperbolic function solutions. These stochastic solutions may be applicable for investigation various complex phenomena in applied science and new physics. We exhibit the influence of multiplicative noise on the solution of the PNLSE forced by multiplicative noise in It^o sense. The study and acquired solutions clarify that the unified solver technique is sturdy and efficient. Finally, some 3D proles to some of the gained solutions are also illustrated.