This paper presents a Martingale regularization method for the stochastic Navier--Stokes equations with additive noise. The original system is split into two equivalent parts, the linear stochastic Stokes equations with Martingale solution and the stochastic modified Navier--Stokes equations with relatively-higher regularities. Meanwhile, a fractional Laplace operator is introduced to regularize the noise term. The stability and convergence of numerical scheme for the pathwise modified Navier--Stokes equations are proved. The comparisons of non-regularized and regularized noises for the Navier--Stokes system are numerically presented to further demonstrate the efficiency of our numerical scheme.