  The kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background
is treated canonically in a version of the light-cone gauge. After reviewing
the generalized light-cone gauge for a bosonic sigma model, we present the
Hamiltonian dynamics of the Green-Schwarz action by using the transverse
degrees of freedom. The remaining fermionic constraints are all second class,
which we treat by the Dirac bracket. Upon quantization, all of the transverse
coordinates are inevitably non-commutative.
