Building on the stochastic extension of the variational framework for deterministic multisymplectic partial differential equations (PDEs), we formulate a stochastic variational principle that ensures the existence of stochastic 1-form and 2-form conservation laws, as well as stochastic analogues of Noether’s theorem. Based on this principle, we propose a class of stochastic structure-preserving collocation methods. These methods are specifically designed to preserve the stochastic multisymplectic 2-form at the discrete level. In the special case of linear systems, the proposed schemes further guarantee discrete momentum conservation.