The synthetic route to obtain stable composites of liquid crystal ZhK-777 with semiconductor quantum dots CdSe/CdS and CdSe/CdS/ZnS has been proposed. The dependents of fluorescence intensity of the composites on size and concentration of used quantum dots has been established. The shift of the luminescence band and decrease of its intensity has been observed both for liquid crystal and quantum dots. This effect indicates that quantum dots interaction with liquid crystals caused by a nonradiative excitation energy transfer from liquid crystal molecules to quantum dots. The dielectric spectroscopy of ZhK-777 and composites revealed that doping with quantum dots results in change of molecular relaxation frequencies in composites.