The neodymium chromate nanoparticles are synthesized by the sol–gel process. The phase formation with Pnma symmetry of the sample is confirmed by the Rietveld refinement of X-ray diffraction data. The particle size of the sample is determined by transmission electron microscopy. The band gap of the material is found to be 1.78 eV which is obtained by Tauc relation to UV-absorption spectrum. The room temperature Raman spectrum is fitted with the sum of 22 Lorentzian peaks. Dielectric relaxation of the sample has been investigated in the frequency range from 42 Hz to 1.1 MHz and in the temperature range from 303 to 573 K. The Cole–Cole model is used to explain the dielectric relaxation mechanism of the material. The complex impedance plane plot confirms the existence of the grain-boundary contribution to the relaxation of the sample. The frequency-dependent conductivity spectra follow the power law.