Knowing the importance of predicting acting forces during the formation process, our research has conducted 27 Single Point Incremental Forming (SPIF) experiments in hyperboloid format, followed by Finite Element Method (FEM) simulations and regression equations were determined to estimate the maximum axial force in the process. ANOVA analysis of variance was used to determine the significance of material parameters in the maximum axial force response. A multiple linear regression model was constructed to estimate the maximum axial force in the SPIF process. After the experiments, we were able to identify that the maximum axial force increases according to an increase in tool radius, sheet initial thickness, and strength coefficient values, as well as according to the decrease in the strain-hardening exponent. The FEM simulations are in agreement with the experimental values found, and the linear regression model has proven to be efficient to describe results, with R2 of 98.85% and a maximum percentage error of 11.5%.