This note shows that the value of ambiguous persuasion characterized in Beauchene, Li and Li(2019) can be given by a concavification program as in Bayesian persuasion (Kamenica and Gentzkow, 2011). More specifically, it implies that an ambiguous persuasion game can be equivalently formalized as a Bayesian persuasion game with distorted utility functions. This result is obtained under a novel construction of ambiguous persuasion.