The Head Related Transfer Function (HRTF) characterizes the interaction between sound and the physiological structure of the listener, therefore, HRTFs have personalized characteristics. This paper proposes a hybrid algorithm for predicting HRTFs based on anthropometric parameters. This algorithm reduces the dimensionality of physiological parameters and HRTF, and then constructs a regression model between physiological parameters and HRTF. Firstly, principal component analysis is used to reduce the dimensionality of HRTF, followed by sparse principal component analysis to reduce the dimensionality of measured physiological parameters. Finally, a prediction model from physiological parameters to principal component coefficients is constructed through least squares regression. The predicted results were analyzed with spectral distortion. The result indicates that this prediction method can effectively predict HRTF.