Abstract: A modular system of interchangeable compartments mounted on a support member. The support member, such as a belt or vest, includes a support surface portion formed of a continuously looped, brushed polyester weave material. The outer surface is smooth and will not accidently snag other surfaces. Compartment modules, provided in a variety of shapes and sizes according to the activity in which the modular system is to be used, include at least one fastening strip of upstanding hook elements. The upstanding hook elements are able to engage the continuously looped brushed polyester weave to secure the compartment modules onto the support surface portion of the modular system. The compartment modules can be attached to the support surface in any desired position as well as any angular orientation by simply pressing the fastening strips onto the support surface. The compartment modules are easily removed from the support surface by forcibly disengaging the fastening strips from the support surface.