Chemical strategies developed for the solid-phase synthesis of hydroxamates are divided into four groups: (i) the traditional synthesis of hydroxamates via cleavage of resin-bound esters by hydroxylamine and its derivatives, (ii) introduction of hydroxamic acid moiety on the resin-bound precursor, (iii) transformation of polymer-supported hydroxylamine, attached to a solid supported linker either by oxygen (O-linking strategy) or by nitrogen (N-linking strategy), and (iv) synthesis of N-alkyl hydroxamates. The scope and limitation of individual approaches are discussed.