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Finding out the most effective parameters relating to the resistance of reinforced concrete connections (RCCs) is an important topic in structural engineering. In this study, first, a finite element (FE) model is developed for simulating the performance of RCCs under post-earthquake fire (PEF). Then surrogate models, including multiple linear regression (MLR), multiple natural logarithm (Ln) equation regression (MLnER), gene expression programming (GEP), and an ensemble model, are used to predict the remaining load-carrying capacity of an RCC under PEF. The statistical parameters, error terms, and a novel statistical table are used to evaluate and compare the accuracy of each surrogate model. According to the results, the ratio of the longitudinal reinforcement bars of the column (RLC) has a significant effect on the resistance of an RCC under PEF. Increasing the value of this parameter from 1% to 8% can increase the residual load-carrying capacity of an RCC under PEF by 492.2% when the RCC is exposed to fire at a temperature of 1000 °C. Moreover, based on the results, the ensemble model can predict the residual load-carrying capacity with suitable accuracy. A safety factor of 1.55 should be applied to the results obtained from the ensemble model.