DNA nanotechnology has emerged as a powerful tool to precisely design and control molecular circuits, machines, and nanostructures. A major goal in this field is to build devices with life-like properties such as directional motion, transport, communication and adaptation. In this Review, we provide an overview of the nascent field of dissipative DNA nanotechnology, which aims at developing life-like systems by combining programmable nucleic acid reactions with energy dissipating processes. We first delineate the notions, terminology and characteristic features of dissipative DNA-based systems and then we survey DNA-based circuits, devices and materials whose functions are controlled by chemical fuels. We emphasize how energy consumption enables these systems to perform work and cyclical tasks, in contrast with DNA devices that operate without dissipative processes. The ability to take advantage of chemical fuel molecules brings dissipative DNA systems closer to active molecular devices in nature, and points to the transformative potential of dissipative DNA nanotechnology toward the synthesis of living matter.