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The dispersion characteristics of an optical nanowire microcoil resonator (ONMR) are investigated, which show remarkable influence on their performances at a high bitrate. In addition to the waveguide dispersion it was found that the adjacent ring coupling also has notable contribution to the total dispersion. If the nanowire diameter's range is from 1.5 to 5 μm, the waveguide dispersion and coupling dispersion could almost be canceled with each other so that the total dispersion is well suppressed, which is desired in high-speed (10 Gb/s and beyond) optical systems. On the other hand, both positive and negative dispersion could be obtained by adjusting suitable ONMR parameters. Even a tailored dispersion curve could be designed theoretically. These results are helpful for ONMR-based device design in communication and sensing applications.