The objective of this study was to develop models for exploring viscoelastic structural properties of human ribs in a simulated frontal impact scenario. Three hundred eighty-one ribs from 207 individuals were dynamically tested to simulate anterior-posterior bending in a frontal impact scenario. Two models, a second order mass-damper-spring model and a piecewise model with mass-damper-spring were proposed to replicate rib reaction force using acceleration, velocity, and displacement data collected during testing. The piecewise model was composed of two piecewise components:​ one for the initial loading phase and the other for the subsequent loading phase. An optimization technique was used to determine parameters of the proposed models by maximizing the coefficient of determination between the proposed models and actual rib responses. Results show the piecewise model successfully mimicked the rib force data (332 of 381 ribs had R-sq ≥ 0.99), while the mass-damper-spring model exhibited less accurate responses (129 of 381 ribs had R-sq ≥ 0.99). Based on a lack of viscoelastic structural properties of human ribs in the literature, these data should help researchers better understand rib structural behavior in a frontal impact scenario.