  This article deals with the $\dot{H}^{1}$--level exact controllability for
the defocusing critical nonlinear Schr\"{o}dinger equation in $\mathbb{R}^3$.
Firstly, we show the problem under consideration to be well-posed using
Strichartz estimates. Moreover, through the Hilbert uniqueness method, we prove
the linear Schr\"{o}dinger equation to be controllable. Finally, we use a
perturbation argument and show local exact controllability for the critical
nonlinear Schr\"{o}dinger equation.
