Single point incremental forming (SPIF) is a sheet metal forming process used to obtain customized products with complex shapes. A hemispherical tool producing a series of local plastic deformations leads to increase in the formability of the final product. However, this forming technology still carries some drawbacks. The investigation of SPIF in terms of quality production and process optimization has always been a challenge to the researchers. An attempt has been made to study the effect of SPIF process parameters such as feed rate (f), step depth (p), tool diameter (d) and sheet thickness (t _i) on surface roughness (R _a) and maximum forming angle (Ø _max) while forming of high strength AA5052-H32 alloy sheet. Response surface methodology (RSM) with the Box–Behnken design is used to develop a mathematical model in terms of the above parameters. An analysis of variance (ANOVA) test shows that step depth, tool diameter has a significant effect on the surface roughness and formability (P < 0.0001). The average surface roughness is found to increase with an increase in step depth and decrease in tool diameter, whereas the maximum forming angle is found to decrease with increase in step depth and tool diameter. The confirmation experiments are performed to check the adequacy of the proposed model.