Apparatus used to create storage space on the outside of a backpack and method for using such apparatus are described. The storage apparatus comprises a restraining device configured to store items on the outside of a backpack and an assembly for connecting the restraining device to a backpack. This assembly contains a grasping device and a connection device removably attached to the grasping device so that the fabric of the backpack is retained between the grasping device and the connection device. Items can then be stored on the outside of the backpack under the restraining device or the items can be attached to the restraining device itself. Using the connection assembly, the restraining device can be quickly attached to a wide variety of locations on the backpack and can be used with a wide variety of types, sizes, and shapes of backpacks. Other embodiments are also described.