This paper discusses the design synthesis of a permanent-magnet brushless dc (PMBLDC) machine using a finite-element (FE) model. This work differentiates itself from the past studies by following a synthesis approach, in which many designs that satisfy the performance criteria are considered instead of a unique solution. The designer can later select a design, based on comparing parameters of the designs, which are critical to the application that the motor will be used for. The presented approach makes it easier to define constraints for a design synthesis problem. A detailed description of the setting up of an FE-based design synthesis problem, starting from the definition of design variables, the FE model of the machine, how the design synthesis is carried out, and to how a design is finalized from a set of designs that satisfy the performance criteria, is included in this paper. The proposed synthesis program is demonstrated by designing a segmented axial torus PMBLDC motor for an electric two-wheeler.