Deuterated dipeptide boric acids or esters thereof, or crystal forms thereof, or pharmaceutically acceptable hydrates or solvates thereof are disclosed. The general structure of the compounds is shown as a formula (a) in the specification, wherein R1, R2, R3, R4, R5 and R6 are independently selected from hydrogen, deuterium or halogens, or C1-C4 alkyl one or a plurality of or all hydrogen atoms of which are deuterated; and at least one of the R1, the R2, the R3, the R4, the R5 and the R6 is deuterated or deuterium. The compounds can effectively inhibit proteasomes and effectively treat or prevent cancer, cardiovascular disease, inflammation, immune disease, nephropathy, vasculogenesis or prostate disease.