The invention discloses a supported spherical nano particle palladium catalyst and a preparation method and application thereof .The catalyst is composed of a carrier and an active component supported by the carrier, wherein the carrier is active carbon, alumina, silicon dioxide or titanium dioxide, the active component is elemental palladium, the elemental palladium is a spherical particle in shape, and the particle size ranges from 5 nm to 50 nm .Based on the mass of the carrier, the capacity of the elemental palladium is 0.10-15.0wt% .The application of the catalyst in catalytic hydrogenation reaction of polynitroaromatics shown in formula (I) selectively synthesizing nitro aromatic amine shown in formula (II) is provided .In formula (I), at least two of R1, R2, R3, R4, R5 and R6 are nitryls, and the other groups are independent H, Cl, F, CH3, OH, CH2CH3, NH2, OCH3, OCH2CH3, C6H5, COOH or COOCH3; in formula (II), only one nitryl is reduced into amino, the other groups correspond to the groups in formula (i) in a one-to-one mode and do not change before and after reaction .Please see formula (I) and formula (II) in the description.