A method for controlling global stochasticity in two-dimensional Hamiltonian systems is proposed in a model of the standard map. We demonstrate that this control method can stabilize global stochasticity into regular motion running in limited regions. The method is robust under the presence of weak external noise. Noise-induced intermittency can be found in the case of large noise strength. This is a new type of intermittency similar to the recently discovered in-out intermittency.