A drug prescribing system that can prevent a wrong drug from being taken during picking is provided. A drug prescribing system (1) includes a host computer (4) including an input device (8) through which prescription data based on a prescription is input, a drug dispensing apparatus (10) in which drugs are housed in advance, and that dispenses a drug in accordance with the prescription data, and a picking inspection apparatus (20) that conducts a picking inspection for a drug picked in accordance with the prescription data. The drug dispensing apparatus (10) outputs supplementary information on a drug that is not dispensed with the drug dispensing apparatus (10) and needs to be supplemented. The picking inspection apparatus (20) receives an input of the supplementary information, and conducts the picking inspection for a supplementary drug supplemented based on the supplementary information.