  In this paper, we construct a closed form of projectors on the integral
noncommutative orbifold $T^2/Z_6$ in terms of elliptic functions by $GHS$
construction. After that, we give a general solution of projectors on $%
T^{2}/Z_{6}$ and $T^{2}/Z_{3}$ with minimal trace and continuous reduced matrix
$M(k,q_{0})$.The projectors constructed by us possess symmetry and manifest
covariant forms under $Z_{6}$ rotation. Since projectors correspond to the
soliton solutions of field theory on the noncommutative orbifold, we thus
present a series of corresponding manifest covariant soliton solutions.
