  We argue the integrability of the generalized KdV(GKdV) equation using the
Painlev\'e test. For $d( \le 2)$ dimensional space, GKdV equation passes the
Painlev\'e test but does not for $d \geq 3$ dimensional space. We also apply
the Ablowitz-Ramani-Segur's conjecture to the GKdV equation in order to
complement the Painlev\'e test.
