The overmodulation strategy is one of the effective methods to improve the torque output capability and DC voltage utilization of permanent magnet synchronous motor (PMSM) drive. To reduce the complexity of implementing overmodulation algorithms and minimize voltage and current harmonic content, this paper proposes a novel overmodulation strategy through linearly given duty cycles, which enables fast calculation and implementation of overmodulation pulses for PMSM drive. In the context of the vector control system of PMSM using space vector pulse-width modulation (SVPWM) technology, the novel overmodulation strategy simplifies the pulse-width modulation duty cycle allocation and achieves straightforward implementation. By directly given linear duty cycles in the overmodulation region, the method avoids complex modulation calculations. The novel overmodulation strategy ensures a smooth transition to six-step operation and exhibits better voltage harmonic performance and lower computational complexity compared to traditional overmodulation strategies. Finally, the results of experimental validation on PMSM operation demonstrate that the proposed overmodulation control method features fast computation and low harmonic content.