In the first part of the paper, some new configurations of the single point incremental forming process (SPIF) used to form lightweight materials are reviewed. In was found a significant lack of knowledge concerning the forming limits, the mechanism of deformation, the stress-strain state and microstructure, the influence of different process parameters on formability and parts accuracy. In the second part of the paper, the ability of a Zn alloy sheet to be processed by SPIF was investigated. A conical frustum was successfully formed but a significant springback affected the geometric accuracy of part.