Single-Point Incremental Forming (SPIF) is a flexible process for manufacturing sheet metal parts that is well adapted and profitable for prototypes or small batch production. Compared to traditional sheet forming technologies, this relatively slow process can be used in different applications in the automotive and aircraft industries; architecture engineering; and medical aid manufacture. In this article, the indirectly obtained axial forming force on the SPIF of variable wall angle geometry is studied using different process parameters. The estimation of the forces on AlMn1Mg1 sheets with an initial thickness of 0.22 mm is performed by continuous monitoring of servomotor currents. The deformation states of the formed parts were analysed using the ARGUS optical strain measurement system of GOM, while the roughness measurements were carried out by a Mitutoyo system. Some initial finite element analysis simulations and a crack monitoring method together with an interaction plot of forming speed, incremental depth, tool diameter, and lubrication were also reported.