A method of production of an aqueous dispersion of hollow polymer particles including forming, on the outer layers of core polymer particle (A) on which inside shell layer (B) and intermediate shell layer (C) are formed, outside shell layer (D) obtained by using a monomer mixture (d) with a ratio of content of an acidic group-containing monomer controlled to 0.15 wt % or less and adding a base to an aqueous dispersion of the obtained polymer particle to make the pH of the aqueous dispersion 7 or more is provided.