Selfâfolding broadly refers to the assembly of 3D structures by bending, curving, and folding without the need for manual or mechanized intervention. Selfâfolding is scientifically interesting because selfâfolded structures, from plant leaves to gut villi to cerebral gyri, abound in nature. From an engineering perspective, selfâfolding of subâmillimeterâsized structures addresses major hurdles in nanoâ and microâmanufacturing. This review focuses on selfâfolding using surface tension or capillary forces derived from the minimization of liquid interfacial area. Due to favorable downscaling with length, at small scales capillary forces become extremely large relative to forces that scale with volume, such as gravity or inertia, and to forces that scale with area, such as elasticity. The major demonstrated classes of capillary force assisted selfâfolding are discussed. These classes include the use of rigid or soft and microâ or nanoâpatterned precursors that are assembled using a variety of liquids such as water, molten polymers, and liquid metals. The authors outline the underlying physics and highlight important design considerations that maximize rigidity, strength, and yield of the assembled structures. They also discuss applications of capillary selfâfolding structures in engineering and medicine. Finally, the authors conclude by summarizing standing challenges and describing future trends.