The invention discloses an silver-supported antibacterial nano-material and the preparation method and the application thereof. The preparation method comprises the following steps: (1) adding surfactant to a water solution of NH4H2PO4 and ZrOCl2*8H2O, co-precipitating, filtering, rinsing, dewatering, drying and pulverizing to obtain a nano-scale mesoporous zirconium phosphate carrier; and (2) adding dispersant and water to the carrier prepared in the step (1) to obtain a suspension A; mixing AgNO3, NH3*H2O and water to obtain a sliver-ammine complex ion water solution B; mixing the suspension A and the sliver-ammine complex ion water solution B, adding acid to inhibit the hydrolysis so that the generated nano-scale silver ions cluster is adhered to the carrier; and filtering, rinsing, dewatering, drying, sintering and pulverizing to obtain nano-scale silver ion antibacterial powder. The antibacterial nano-material has excellent antibacterial performances such as persistent effect, stability, high temperature resistance, etc. and can be applied in the fields such as building materials, public facilities, medical facilities and appliance, daily products, etc.