An experimental study has been carried out under both loose and dense random packing conditions to quantify the dependence of the packing characteristics such as porosity and packing size on particle shape. It is shown that the porosity of mono-sized particles is strongly dependent on both particle shape and packing method, and for a given packing method, the porosity-shape relation can be approximated by the proper use of the packing results of cylinders and disks. The results indicate that the equivalent packing diameter of a particle is only affected by particle shape and not sensitive to the method of evaluation including factors such as the packing method and the mixing composition. Based on the measurements, correlations have been formulated for predictive purposes. The formulated porosity-shape and packing size-shape relations are demonstrated to be useful in particle characterization and in porosity prediction of non-spherical particle mixtures.