The advantages and disadvantages of the previous predistortion methods for high power amplifiers (HPA) in orthogonal frequency division multiplexing (OFDM) transmitter were compared and summarized systematically. Block-oriented model-based adaptive digital predistortion technique was presented to compensate for the distortions in HPA with memory. The proposed predistortion schemes were explained, where the adaptive predistorters of HPA with memory were constructed based on Wiener model, Hammerstein model and Wiener-Hammerstein model, respectively. Thus, the complexity of the model parameters of all aspects of Wiener-Hammerstein estimated is avoided, separately. This makes the predistortion design of a high power amplifier with memory became simple.