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We present a detailed temporal analysis for the eclipsing high-mass X-raybinary system Cen X-3 using the Insight-HXMT data in 2018 and 2020. Threeconsecutive and high statistic observations among data are used for the precisetiming analysis. The pulse profiles are revealed to vary with energy and time.The pulse profiles for the 2018 observations showed a double peak in the lowenergy bands below 10 keV and evolved to a single peak in higher energieswithout the correlation between pulse fraction and flux, and profiles in lowenergies changed with time. But the pulse profile for the 2020 observation onlyshowed a broad single-peaked pulse in all energy bands with a positive relationbetween pulse fraction and flux, which may indicate the transition of theemission patterns from a mixture of a pencil and a fan beam to a dominatedpencil-like beam. With performing a binary orbital fitting of spin periods, weobtain an accurate value for the spin period and the orbital parameters. Theintrinsic spin period of the neutron star is found to be $4.79920 \pm 0.00006$s at MJD 58852.697, with the orbital period determined at $P_{\rmorb}=2.08695634\pm 0.1$ day, and its decay rate of -(1.7832 $\pm$0.0001) $\times$ 10$^{-6}$ yr$^{-1}$ for the binary.

Measurements of spin and orbital parameters in Cen X-3 by Insight-HXMT