The invention discloses a control method and system of a radiant cooling air-conditioning system. The method includes the steps that the indoor temperature Te,i and wet-bulb temperature Tw,i of each opened room at a radiant cooling tail end and the dry-bulb temperature Tf,i of the surface of each cold radiation panel are detected; according to the detected indoor temperatures Te,i and the detected wet-bulb temperatures Tw,i, the dew-point temperatures Tde,i of the rooms are calculated; according to the detected indoor temperatures Te,i of the rooms, the detected dry-bulb temperatures Tf,i of the surfaces of the cold radiation panels and the calculated dew-point temperatures Tde,i, the frequency of a compressor is regulated so that the supply water temperature Tg,i of the cold radiation panel in each room can meet the formula that Tg,i= Tde,i+K, wherein K is a preset temperature regulation value; and if Tf,i>= Tde,i+0.5 DEG C, K=0.5 DEG C, and if Tf,i< Tde,i+0.5 DEG C, K=0.06*Te,i. By means of the control method and system of the radiant cooling air-conditioning system, on the premise of guaranteeing the cold supply quantity of the radiant cooling rooms, the hidden trouble of condensation of the cold radiation panels is effectively eradicated, and therefore the problem that application and popularization of radiant cooling are limited is solved.