To solve the problem regardingthe stress concentration offlexible supporting structures of omnidirectional accelerometers, an optimization model was established herein, considering the constraint of the stress distribution. By means of optimizing the curvatures and diameters of different parts of a piezoelectric curved beam, a novel axially polarized optimized omnidirectional accelerometer with a curved beam of variable crosssection was obtained using the genetic algorithm. The numerical results show that the omnidirectional sensitivity of the optimized curved-beam accelerometer is 2.5 times that of the initial straight-beam accelerometer, and its maximum stress is 0.7-0.9 times that of the initial straight-beam accelerometer. Therefore, the linear measurement range of the curved-beam accelerometer is 1.2 times that of the initial straight-beam accelerometer. The omnidirectional sensitivity of the curved-beam accelerometer is 0.7-1.3 V/g under acceleration in the range of 1-81 Hz. Overall, the design method forthe curved-beam accelerometer can overcome the difficultiespresented regardingoptimization of the sensitivity and stress distribution simultaneously.