Tyrosyl-DNA phosphodiesterase 1 (Tdp1) is a DNA repair enzyme that catalyzes the hydrolysis of the phosphodiester bond in the DNA-topoisomerase 1 (Top1) covalent complex and repairs some other 3′-end DNA adducts. Currently, Tdp1 functions as an important target in cancer drug design owing to its ability to break down various DNA adducts induced by chemotherapeutics. Tdp1 inhibitors may sensitize tumor cells to the action of Top1 poisons, thereby potentiating their effects. This mini-review summarizes findings from studies reporting the combined inhibition of Top1 and Tdp1. Two different approaches have been considered for developing such drug precursors.