PMN-PZT nano-powders were prepared by citrate-nitrate gel-combustion technique and optical parameters were obtained by Kramers-Kronig transformation. Organic metals and metal salts precursor were employed in this process. X-ray diffraction shows that increasing the temperature from 500°C to 800°C reduces the pyrochlore unwanted phase in nano-powders so that in 900°C the single phase of perovskite formed. According to the TEM images, the particles size are in the range of 20-30 nm. FTIR spectrum transmittance confirms the perovskite phase of nano-powders. Using FTIR spectra and Kramers-Kroning relationship, the optical constants including the refractive index, extinction coefficients, real and imaginary parts of dielectric function investigated. In addition, we determined plasma frequencies from energy loss functions at 600°C, 700°C, 800°C and 900°C. The increasing calcination temperature makes the significant changes in optical constants.