We prove the existence and uniqueness of strong solution to the stochastic Leray-α equations under
appropriate conditions on the data. This is achieved by means of the Galerkin approximation
scheme. We also study the asymptotic behaviour of the strong solution as alpha goes to zero. We
show that a sequence of strong solutions converges in appropriate topologies to weak solutions of
the 3D stochastic Navier-Stokes equations.