A mobile tarping system has a framework with a base section and a height adjustable main section connected to a cradle support. A rolled up tarp within the cradle support, can be unrolled and retracted by a spring-loaded roll-out and retraction assembly or a manual crank for covering the open container. The system is separate and independent from the container. Wheels extending from the base section permit the mobile tarping system to be transported between various containers, when a given container is filled with loose debris and must be covered.