Two-dimensional (2D) materials showcase great potentials in both fundamental research and technology development,thanks to their unique chemical and physical properties that are usually not available in corresponding bulk counterparts.As an emerging class of 2D materials,2D conductive metal-organic frameworks (2D c-MOFs) exhibit the characteristics of pre-designable and tunable structures,excellent crystallinity,intrinsic porosity and superior conductivity.During the past decade,2D c-MOFs have been rapidly developed in electronics,sensors,energy storage devices,etc.In this review,the electrical,magnetic and quantum properties of 2D c-MOFs are surveyed in detail.Their applications in semiconductor,metal,superconductor,topological insulator and porous magnet are highlighted.We envision that the combination of 2D c-MOFs with quantum materials could evoke rich physics,flexible chemistry and potential applications in both electronics and spintronics.