Gamma-ray bursts (GRBs) are among the most energetic explosive phenomena in the universe, and their peak energy (Ep) is a key physical quantity for understanding the prompt emission mechanism. However, due to the limited energy coverage of the Swift satellite, a large fraction of Swift GRBs lack reliable measurements of the peak energy. Therefore, developing an accurate and efficient method to predict Ep is of great importance. In this work, we propose a method based on the SuperLearner framework that integrates multiple supervised machine learning algorithms to predict Ep of Swift/BAT GRBs. We use the Swift/BAT observational data from December 2004 to September 2022 as training features, and adopt the peak energies of 516 GRBs jointly detected by Swift and either Fermi/GBM or Konus-Wind as training labels. After training and testing multiple supervised models, the final SuperLearner ensemble yields a more robust and reliable predictive model. In 100 iterations of 5-fold cross validation, the predicted E'p values show a tight correlation with the observed Ep, with an average Pearson correlation coefficient of r=0.72. Compared with previous Bayesian estimates, our model provides predictions that are likely closer to the true values. Based on the trained model, we further predict the peak energies of 650 Swift GRBs, significantly increasing the number of GRBs with known peak energies and providing new statistical support for constraining GRB emission mechanisms and energy origins.