Down-converting materials, which are luminescent materials that can emit at lower energies than their excitation energies, have been employed in a broad range of application area including phosphor-converted white LEDs, display technologies, solar cells, etc. In general, they can be obtained in the form powder or in dispersion. Therefore, to use them in an application, various methods such as spin coating can be applied or they can be prepared in the form of ceramic plate or polymer composite. In this thesis, we fabricate polymeric composite of some of these down-converting materials to use them in white light applications. In this sense, we have prepared these down-converting materials together with suitable polymers to form polymer/down-converting material composite in order to obtain free-standing film. Among those, polydimethylsiloxane was used in most of our applications especially the ones that involve inorganic downconverting materials. Second, polystyrene was employed to produce electrospun fibers in the case of when organic down-converting materials were used. After obtaining these composites in the form of free-standing film, we have focused specifically their use as color conversion layers over blue or UV LED chip to produce white light. The last part of the thesis describes our future prospects. We think that halide perovskites, which have high quantum yield, low cost, ease of synthesis, and wavelength tunability, can be promising materials in order to be employed as color conversion layer in white light applications. The details of these material systems, and their recent use in phosphorconverted white LED applications were summarized.