We present a detail study of the electrical resistivity, thermoelectric power, magnetic susceptibility χ and the heat capacity C_P in antiferromagnetic layered compounds CuCrS₂ and CuCrSe₂ at 2K-300K. CuCrS₂ showed sharp cusp in χ and a lambda-like peak in C_P at T_N = 40K as expected for a 3D- magnetic order, while more metallic CuCrSe₂ showed a rounded maximum in χ and the absence of sharp peak in C_P around 55K, the C_P at low temperature has T²–dependence in it which suggests 2D spin-liquid like excitation in its magnetic phase. We tentatively believe this behaviour of CuCrSe₂ to be due to competing magnetic interactions between intralayer Cr atoms. The ferromagnetic Cr–Se–Cr indirect exchange among intralayer Cr atoms is enhanced in the selenide compound (that is more metallic than the sulfide compound), and competes with the antiferromagnetic Cr–Cr direct interactions. The interlayer antiferromagnetic exchange through Cu atoms leads to magnetic ordering at low temperature at T_N =55 K.