Interfacing CH 3 NH 3 PbI 3 (MAPbI 3 ) with 2D van der Waals materials in lateral photodetectors can suppress the dark current and driving voltage, while the interlayer charge separation also renders slower charge dynamics. In this work, we show that more than one order of magnitude faster photoresponse time can be achieved in MAPbI 3 /MoS 2 lateral photodetectors by locally separating the photocharge generation and recombination through a parallel channel of single-layer MAPbI 3 . Photocurrent (I ph ) mapping reveals electron diffusion lengths of about 20 μm in single-layer MAPbI 3 and 4 μm in the MAPbI 3 / MoS 2 heterostructure. The illumination-power scaling of I ph and time-resolved photoluminescence studies point to the dominant roles of the heterostructure region in photogeneration and single-layer MAPbI 3 in charge recombination. Our results shed new light on the material design that can concurrently enhance photoresponsivity, reduce driving voltage, and sustain high operation speed, paving the path for developing high-performance lateral photodetectors based on hybrid perovskites.