Abstract: The Insight-HXMT (Insight Hard X-ray Modulation Telescope) is China's first space astronomical X-ray satellite, which could be utilized to study compact stellar objects such as black holes, neutron stars and violent eruptive phenomena, such as gamma-ray bursts and so on. Isolated X-ray pulsars and accreting millisecond pulsars are also important targets of Insight-HXMT. Seven isolated pulsars and five accreting millisecond pulsars have been observed according to the observation schedule. Through the observations made by Insight-HXMT, high-precision pulse profiles of the Crab pulsar and broader energy-phase spectra have been obtained, revealing the evolution characteristics of X-ray spectral properties and spectral parameters as function of phase. Additionally, the delay acceleration characteristics during the period jump of the pulsar and whether the period jump causes changes in X-ray radiation have been studied, along with research on orbit determination algorithms. The hard X-ray pulsations of MAXI J1816–195 are detected for accreting millisecond pulsars using Insight-HXMT observations, which could supply more constraints on the magnetosphere.