The low-temperature photoluminescence (PL) and PL excitation (PLE) spectra of two systems ofCdTe quantum wells (QWs) separated by CdMnTe and CdMgTe barriers 20 nm thick are studied. The exper-imental PL spectra are compared with calculations that take into account the exciton effect and the influenceof internal strains. The scatter of our data does not exceed that expected for monolayer fluctuations of the QWwidth. In the PLE spectra of a thick QW, bands were found that correspond to the increase of PL from a thickQW upon excitation of a neighbor narrow QW. The mechanism of energy transfer between QWs separated bythick barriers is discussed.