<p>The fixed-time stabilization problem for stochastic low-order nonlinear systems with output constraints is examined in this paper. In order to translate output-constrained stochastic systems into an equivalent unconstrained form, a coordinate transformation is utilized. A new design and analysis technique is developed which employs the fixed-time Lyapunov stability theorem to ensure that all of the closed-loop signals are almost surely bound and the trivial solution of the closed-loop system is stochastically fixed-time stable while satisfying the output constraint. The validity of the designed scheme is substantiated via simulation results.</p>