A theoretical model of optical singular soliton in periodic parity-time (PT) symmetric potentials without defects and non-periodic PT symmetric potentials with positive and negative defects is introduced. Based on variational method, the width and potential energy of soliton in PT symmetric potentials without defects are analysed. The range of linear stability of soliton is also researched by linear stability analysis. It is shown that singular soliton can stably transmitte in the PT symmetric potentials under some appropriate parameters.