One of the main tasks in neuromorphic systems would be the design of neuromorphic devices, capable of mimicking multiple fundamental synaptic computation behaviors. Moreover, mimicking dendrite integration behaviors on a single neuromorphic device would be highly suitable for neuromorphic engineering. Recently, the study on solid-state neuromorphic devices leads to the emergence of a new branch of neuromorphic engineering owing to its great potentials. With the developments of new materials technology and new conceptual devices, several kinds of neuromorphic devices have been proposed, including two terminal resistance switch devices and three terminal transistors. Moreover, memtransistors have been reported with interesting neuromorphic functions. Furthermore, multi-electrodes have been integrated within these devices, demonstrating advanced neural functions. Especially, multi-gates could be assembled in a single transistor, exhibiting interesting dendritic integration functions and dendritic algorithm. Moreover, important neural cognitive behaviors have been mimicked on these multiterminal devices. All these results indicate their great potentials in neuromorphic engineering.