A sterile drug dispensing system, comprising: an air source output device, a handle and a drug dissolving device; the drug dissolving device is detachably mounted on the handle, the handle being connected to the air source output device by means of a power line and an air pipe, being for use in filtering gas and controlling the gas source output device; the gas source output device is used for outputting and extracting gas. A sterile drug dispensing method, which corresponds to the operating steps of the sterile drug dispensing system.