CuTi2 xMxS4 (M¼Fe, Mn, Co; x¼0.3, 0.5) and CuCr2 xTixSe4 (x¼0.3, 0.5, 0.7) chalcospinels were synthesized by conventional solid-state reactions. Their crystal structures were determined by single-crystal X-ray diffraction. All of the phases crystallized in cubic spinel-type structures (space group, Fd3m). For all of the chalcospinel compounds, the edge-length distortion parameter (ELD) indicated that the most distorted polyhedron was Q[(Ti,M)3Cu], which displayed an 8% distortion from an ideal tetrahedron structure (Q¼S or Se). The Mn-based thiospinel CuMn0.3Ti1.7S4 is paramagnetic, whereas the Fe-based thiospinels (CuTi2 xFexS4; x¼0.3 and 0.7) are strongly antiferromagnetic due to their spin-glass states. The magnetic susceptibility measurements indicated ferromagnetic behavior for the selenospinels (CuCr2 xTixSe4; x¼0.3, 0.5 and 0.7).