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In signal spectrum, it is difficult to detect the close frequency components under a low resolution. When using the traditional FFT to improve frequency resolution will lead to a large increase in computing. To solve this problem,a complex modulation Zoom-FFT method is used on LabVIEW platform. Spectrum zooming is achieved by several steps including frequency shifting, filtering, resampling, FFT and frequency adjustment. Results show that this method can not only flexibly select the zooming frequency band and improve frequency resolution, but also has a small demand of computation. In addition, a reasonable choice of window function can reduce spectral distortion. The rotor bar broken fault is detected when using this method to the induction motor fault diagnosis. Therefore, it provides an effective way for frequency detection and fault diagnosis based on LabVIEW.