The invention provides a control method and system for flexible direct current power grid current limiting devices, a computer device and a computer readable storage medium. The method comprises the steps that the current value of direct current passing through a flexible direct current power grid is acquired; whether the current value is greater than a number of current thresholds is sequentiallydetermined; a number of current thresholds are sequentially increased, and any one of a number of current thresholds corresponds to a current limiting signal; when the current value is greater than the minimum current threshold in a number of current thresholds, a current limiting signal is sent to a corresponding current limiting device in a number of current limiting devices to activate the current limiting device; the current value after current limiting is continuously acquired; and if the current value after current limiting is still greater than the minimum current threshold in the remaining multiple current thresholds, corresponding current limiting signals are sequentially transmitted to activate the remaining multiple current limiting devices until the current value after currentlimiting is less than or equal to a safety threshold. Multiple-effect current limiting protection of the power grid in a certain timing sequence can prevent a single current limiting device from being broken down by overcurrent due to insufficient capacity.