The invention discloses an organic metal framework supported palladium in the technical field of chemical industry, a preparation method and application thereof. The organic metal framework supported palladium is prepared by the method comprising the steps of: dissolving terephthalic acid and zinc nitrate hexahydrate into N, N-dimethylformamide, dripping triethylamine with the stirring, continuing stirring the obtained solution, filtering the obtained solution, and washing a precipitate to obtain a solid, namely MOF-5; and dissolving Na2PdC14 into the N, N-dimethylformamide to obtain solution, adding the MOF-5 into the solution, and then dripping hydrazine hydrate to obtain Pd@MOF-5 through stirring, filtration, washing and vacuum drying. The invention also relates to the method for preparing the organic metal framework supported palladium, application thereof taken as a catalyst in a Sonogashira reaction, and the method for preparing diaryl acetylene. The organic metal framework supported palladium in the invention has good stability, can catalyze the reaction with high selectivity and high efficiency under rather low loading of the catalyst, and can be repeatedly used.