  We prove the existence of a global martingale solution of a stochastic
Hall-magnetohydrodynamics equations on $\mathbb{R}^3$ with multiplicative
noise. Using the Fourier analysis we construct a sequence of approximate
solutions. The existence of a solution is proved via the stochastic compactness
method and the Jakubowski generalization of the Skorokhod theorem for nonmetric
spaces, in particular, the spaces with weak topologies. The main difficulty is
caused by the Hall term which makes the equations strongly nonlinear.
