A fast curing method of concrete members is characterized in that the concrete samples or members which are not set and hardened are placed into a pressure vessel, high temperature water vapor is filled, nitrogen and oxygen are removed, then a microwave generator is utilized to uniformly heat the concrete samples or members so that high temperature and high pressure saturated vapor is formed in the pressure vessel, during heating, the temperature of the samples or members is controlled to be less than the temperature of the saturated vapor in the pressure vessel and the temperature different is within 5 DEG C, so as to prevent loss of moisture in the concrete samples, the concrete samples or members are heated to the target temperature of 150-175 DEG C, curing is carried out for 1-2h, a microwave heater is closed, the temperature is reduced by spraying until the internal pressure and the external pressure of the vessel are balanced and the samples are taken out, thus completing curing. The microwave compound autoclave curing technology is applied to promoting fast acceleration of the concrete, the inside and the outside of the samples are synchronously heated, temperature self-restrained stress does not exist and the samples have good curing effects. Curing can be completed within 2-3h and reach the effect of 48h of autoclave curing and the effect of 28 days of natural curing.