We present a theoretical study of phase-dependent X-ray emission from the Crab pulsar. In the three-dimensional outer gap model for the Crab pulsar, X-ray emission is produced by synchrotron radiation of the secondary e~(+-) pairs, which is sensitive to the local properties of the emission regions, i.e., local magnetic field strength and local number e~(+-) density. We calculate X-ray pulse profiles for different energy bands and phase-dependent spectral indices of X-rays. We show that such a model can reproduce approximately the basic properties of the observed phase-dependent X-ray spectra of the Crab pulsar.
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