This paper presents the shape design for reducing cogging torque and characteristic analysis in Brushless DC (BLDC) motor. In this BLDC motor, ${Delta}$(delta)-winding is applied, and in order to obtain the $60^{circ}$ trapezoidal phase back-EMF waveform, permanent magnet shape design is carried out. And then, a method on specifying design parameters to effectively reduce cogging torque is developed. back-EMF, input voltage and input current which are analyzed by the Finite Element Method (FEM) are validated by experimental results. Also, efficiency calculations based on analysis and experimental results are performed and analyzed.