  A perfect crystal of any level is constructed for the Kirillov-Reshetikhin
module of $U_q(D_4^{(3)})$ corresponding to the middle vertex of the Dynkin
diagram. The actions of Kashiwara operators are given explicitly. It is also
shown that this family of perfect crystals is coherent. A uniqueness problem
solved in this paper can be applied to other quantum affine algebras.
