An energy-based hysteresis model is developed for the moment-rotation (curvature) response of columns with flexural response. The model accounts for deterioration in cyclic energy dissipation capacity, as well as strength and stiffness, including pinching. Energy dissipation is used as a memory agent in determining the load-path dependency of hysteresis cycles. Cyclic energy dissipation capacity constrains the constructed hysteresis cycles. This capacity is determined from an analytical energy dissipation model calibrated with experimental measurements. Experimental data obtained from 11 column specimens responding in pure flexure under constant- and variable-amplitude displacement cycles are employed. The proposed hysteresis model is verified with experimental observations.