Nano-sized Zn1-x Fe (x) O (where x = 0.00, 0.005, 0.01, 0.02, 0.03, 0.04) powders have been prepared by solution combustion method. The powder samples have been characterized by X-ray diffraction (XRD), Fourier transform infrared spectra, scanning electron microscope (SEM) and energy dispersive analysis of X-rays (EDAX). The XRD patterns showed the formation of single phase wurtzite structure. The average particle size is found to be in the range of 19-34 nm. SEM images show high porosity in the material. The dielectric studies have been performed at room temperature in the frequency range 1 kHz-5 MHz and different mechanisms were used to explain the observed behavior.