The heterotic string is compactified on the orbifold divided by a multi-element discrete symmetry, which is obtained as a quotient space of a torus by its discrete symmetry G N consisting of more than one element. The projection onto G N invariant states in the presence of the constant background field Ã I is discussed. In the search of Z 3-orbifold models of two-element discrete symmetry, several interesting models are found. The gauge symmetries of them are SU (3) ⊗ E 6, E 6, SU (3) 3, SU (3) 4 and SU (3) ⊗ SU (6). The lists of the representations to which chiral multiplets belong are given also.