Drug-polymer conjugates are potential candidates for the selective delivery of anticancer agents to tumor tissue. Incorporating acid-sensitive bonds between the drug and the polymer is an attractive approach because it ensures effective release of the polymer-bound drug at the tumor site. This release is either extracellular, resulting from the slightly acidic pH in tumor tissue, or intracellular, in acidic endosomes or lysosomes after cellular uptake of the drug-polymer conjugate. This paper reviews acid-sensitive drug-polymer conjugates developed during the past 20 years and outlines aspects for further development in this research field.