Abstract We propose some new mixed finite element methods for the time-dependent stochastic Stokes equations with multiplicative noise, which use Helmholtz decomposition of driving noise. It is known (Langa, J. A., Real, & Simon, (2003) Existence and regularity pressure Navier--Stokes equations. Appl. Math. Optim., 48, 195--210) that solution has low regularity, manifests in suboptimal conv...