In a number of published studies on endothelium‐dependent hyperpolarization and relaxation, the results of the effects of K+ blockers have been difficult to interpret. When the effects of two blockers have been studied, often either blocker by itself had little effect, whereas the two blockers combined tended to abolish the responses. Explanations suggested in the literature include an unusual pharmacology of the K+ channels, and possible blocker binding interactions. In contrast, when we applied the same blockers to segments of small blood vessels under voltage‐clamp, the blockers reduced the endothelium‐dependent K+ current in a linearly additive manner. Resolution of these contrasting results is important since endothelium‐derived hyperpolarization (EDH) makes its greatest contribution to vasorelaxation in arterioles and small resistance arteries, where it can exert a significant role in tissue perfusion and blood pressure regulation. Furthermore, EDH is impaired in various diseases. Here we consider why the voltage‐clamp results differ from earlier free‐running membrane potential and contractility studies. We fitted voltage‐clamp derived current‐voltage relationships with mathematical functions and considered theoretically the effects of partial and total block of endothelium‐derived K+‐currents on the membrane potential of small blood vessels. When the K+‐conductance was partially reduced, equivalent to applying a single blocker, the effect on EDH was small. Total block of the endothelium‐dependent K+ conductance abolished the hyperpolarization, in agreement with various published studies. We conclude that nonlinear summation of the hyperpolarizing response evoked by endothelial stimulation can explain the variable effectiveness of individual K+ channel blockers on endothelium‐dependent hyperpolarization and resulting relaxation. This article is protected by copyright. All rights reserved.