The invention provides a storage frame allowing cloth to be taken. The storage frame allowing the cloth to be taken comprises a goods frame, storage boxes, grabbing components, lateral moving parts, a receiving component and a vertical channel, wherein the storage boxes are arranged on the goods frame, the grabbing components are arranged on the storage boxes, the lateral moving parts are fixed to the goods frame and drive the grabbing components to move, the receiving component is located besides the goods frame and receives the cloth which is threw down by the grabbing components, and the vertical channel is formed between the goods frame and the receiving component. The receiving component comprises a limitation wall, a vertical movement part and a suction part, wherein the limitation wall is arranged besides the goods frame, the vertical movement part is arranged on the limitation wall, and the suction part is connected with the vertical movement part. According to the storage frame capable of grabbing the cloth, the cloth can be taken to the vertical channel by the grabbing component, then, by means of the cooperation of a vacuum suction cup and a guide rail, the cloth is taken to a place where an operator takes the cloth conveniently, climbing of a worker is avoided, and the safety and efficiency are improved.