The invention discloses a monolithic catalyst for dimethyl ether catalytic combustion and a preparation method and an application thereof; the catalyst adopts cordierite as carrier, organic matter as adhesive and manganese oxide molecular sieve as active component; the monolithic catalyst is prepared by the coating method that the catalyst is stirred in high speed under the action of the organic adhesive to prepare slurry and then the slurry is coated on cordierite. The catalyst of the invention is used for dimethyl ether catalytic combustion and the catalytic combustion of dimethyl ether can be fully completed at 160-335 DEG C and the volume ratio of air or gas mixture to dimethyl ether is 50. The monolithic catalyst has simple process and low cost, thus being a high effective and clean catalyst for dimethyl ether catalytic combustion.