In this paper, the effect of semi-rigid connections on the bearing capacity of steel tubular members in transmission towers is investigated by the numerical analysis based on experimental validation and the metamodel-based prediction method. Especially, for the stability bearing capacity of steel tubular members considering semi-rigid connections (STM-SRC), a prediction method based on the Gaussian process regression (GPR) model is proposed to accurately predict its value and to efficiently quantify its uncertainty. Firstly, on the basis of the development of mechanical model of STM-SRC in transmission towers, the experimental and numerical studies on STM-SRC are conducted. Then, a dataset of 1125 samples generated by the validated finite element model is used to train and test the GPR model, and the accuracy of the proposed method based on the GPR model is evaluated. Finally, based on the proposed prediction method and the Monte Carlo simulation, the uncertainty for the stability bearing capacity of STM-SRC is quantified under the probabilistic framework. The results show that the proposed method has high accuracy in predicting the stability bearing capacity of STM-SRC. Meanwhile, the stability bearing capacity of steel tubular members is enhanced and their reliability exhibits the linear increase after considering semi-rigid connections.