Nanofluidic photoelectric conversion system based on photo-excitable 2D materials can directly transduce light stimuli into an ion-transport-mediated electric signal, showing potential for mimicking the retina's function with a more favorable human-robot interactions. However, the current membranes suffer from low generation efficiency of charge carriers due to the mixed microstructure and limited charge transport ability caused by the large interlayer spacing and monotonous pathway. Here, a fully conjugated 2D hexaimino-substituted triphenylene-based metal-organic framework (2D-HATP-cMOF) based composite membrane with high conductivity for photoelectric conversion is presented. The extended π-d conjugation within the ab plane and the favorable transport pathway through π-π stacking of the c-MOF maximize the generation and transfer of charge carrier and greatly accelerate the ion transport. As a result, the 2D-HATP-cMOF-based composite membrane possesses ultrafast photoelectric response, superior to other reported 2D systems like graphene oxide (GO), transition metal carbides, carbonitrides and nitrides (MXene), and MoS