In this paper we obtain a heavy meson bound state equation from the heavy q
uark equation of motion in heavy quark effective theory (HQET) and the heav
y meson effective field theory we developed very recently. The bound state
equation is a covariant extention of the light-front bound slate equation f
or heavy mesons derived from light-front QCD and HQET. We determine the cov
ariant heavy meson wave function variationally by minimizing the binding en
ergy <(Lambda)over bar>. Subsequently the ocher basic HQET parameters lambd
a(1) and lambda(2) and the heavy quark masses m(b) and m(c) can also be con
sistently determined. [S0556-2821(99)02613-2].