  In this paper, we establish the global existence to the three-dimensional
incompressible Hall-MHD equations for a class of large initial data, whose
$L^{\infty}$ norms can be arbitrarily large. In addition , we give an example
to show that such a large initial value does exist. Our idea is splitting the
generalized heat equations from Hall-MHD system to generate a small quantity
for large time $t$.
