A new, nonlinear, frequency-domain behavioral model, based on a reduced two-dimensional polynomial equation, is presented in this letter. The Reduced Polynomial (RP) model is similar in concept to the Poly-Harmonic Distortion (PHD) method but has advantages in terms of needing a smaller number of model parameters for comparable accuracy. The basic theory of the proposed RP model and the model extraction methodology are provided. In addition to the first-order RP model, a quadratic RP (QRP) model is also presented. Based on simulation studies and experimentally measured results, the new model shows high accuracy and good stability.