In　this　paper,　for　a　given　dxd　expansive　matrixM　with　|detM|　=　2,　we　investigate　the　compactly　supported　M-wavelets　for　L-2(R-d).　Starting　with　a　pair　of　compactly　supported　refinable　functions　phi　and　(phi)　over　tilde　satisfying　a　mild　condition,　we　obtain　an　explicit　construction　of　a　compactly　supported　wavelet　psi　such　that　{2(j/2)psi(M-j　.　-k):　j　is　an　element　of　Z,　k　is　an　element　of　Z(d)}　forms　a　Riesz　basis　for　L-2(R-d).　The　(anti-)　symmetry　of　such　psi　is　studied,　and　some　examples　are　also　provided.