In the Itô sense, we look at the stochastic Maccari system (SMS) with multiplicative noise. To generate new analytical stochastic solutions, we use three separate techniques including sine-cosine, Riccati-Bernoulli sub-ODE, and semi-inverse.Such solutions are critical for comprehending some fascinating and complex physical phenomena. In addition, some results from earlier studies are generalized. Furthermore, we investigate the impact of stochastic term on the exact solutions of the SMS.