With an aim to produce a low cost luminescent material suitable for white light emitting application, we attempted the enhancement of the visible luminescence from ZnO nanostructure. We synthesized various kind of Zno nanostructures and studied their photoluminescence properties. The nanometer size dot like structure showed brightest photoluminescence centered about yellow region of the visible spectrum. In order to enhance the luminescence further, we tried to co-dope the ZnO nanoparticles by Al and Li by a low cost, chemical co-precipitation method. Because of possible co-doping, the visible luminescence broadens and looks yellowish white, the luminescence intensity being comparable to the commercial yellow phosphor. The mechanism of the above yellowish white luminescence has not been understood. Preliminary characterization indicates a possible radiative transition associated with DAP recombination.