We demonstrate that a direct approach to improving Hamiltonian lattice gaug
e theory is possible, Our approach is to correct errors in the Kogut-Susski
nd Hamiltonian by incorporating additional gauge invariant terms. The coeff
icients of these terms are chosen so that the order a(2) classical errors v
anish. We conclude with a brief discussion of tadpole improvement in Hamilt
onian lattice gauge theory.