memristor, consisting of a simple metalinsulator-metal configuration, is a twoterminal passive circuit element in which the internal resistance of the insulator reversibly changes via the formation and rupture of a conductive filament (CF) dependent on the magnitude and polarity of the external electric field. [4][5][6][7][8][9] Besides its nonvolatile property, it has received significant attention not only for memory and neuromorphic applications, but also as a post-Si complementary metal-oxide semiconductor (CMOS) owing to its multistate switching capability, fast switching speed, high switching endurance, and high packing density. [10][11][12] Particularly, the simple structure of the memristor, enables it to be combined with other active circuit elements to provide additional functionality and achieve zero static power consumption, facilitating nonvolatile in-memory computing. [3,9,13] The hybrid logic circuits have been demonstrated by the integration of a CMOS platform with a memristor. [14] Heteroepitaxy has suffered from the dislocations originating from the lattice mismatch. These defects created many issues in device performance and reliability. 2D materials have received significant attention for both electronic and optoelectronic applications in the post-Si era owing to their rich electronic band structures. [15] The surface of single-crystalline 2D materials is naturally passivated without any dangling bonds, preventing the formation of Shockley-Tamm states and undesirable interstitial charges at the heterointerface. [16] Strain-free heterostructures constructed by vdW epitaxy can prevent a lattice mismatch, thereby allowing true band gap engineering. [17,18] Furthermore, the chemical and mechanical robustness, along with the weak van der Waals (vdW) interaction of 2D materials, can prevent interdiffusion and degradation of the heterostructures. [19,20] Thus, the integration of various 2D materials from versatile platforms such as semimetallic graphene, semiconducting transition metal dichalcogenide (TMD), or insulating hexagonal boron nitride (h-BN) into diverse structures and configurations can help realize previously existing devices or new design concepts while preserving the unique properties of each layer. Withers et al. reported on vdW heterostructured lightemitting diodes by introducing quantum well structures. [21] Lee et al. reported that a vertically stacked n-MoS 2 /p-WSe 2 /n-MoS 2 heterojunction bipolar transistor shows a high current gain comparable to that of the III-V thin-film semiconductor devices. [22] Neuromorphic computing that mimics the energy-efficient cortical neural network in the human brain is attractive because of its possibility to process complex and massive data sets and achieve fast computing capability. Herein, a heterosynaptic and programmable memtransistor architecture with high computing functionality is reported by monolithically integrating a hexagonal boron nitride (h-BN) memristor with a molybdenum disulfide (MoS 2 ) transistor. Memristors consisting of a ve...