Neurological electronic skin (E-skin) can process and transmit information in a distributed manner that achieves effective stimuli perception, holding great promise in neuroprosthetics and soft robotics. Neurological E-skin with multifunctional perception abilities can enable robots to precisely interact with the complex surrounding environment. However, current neurological E-skins that possess tactile, thermal, and visual perception abilities are usually prepared with rigid materials, bringing difficulties in realizing biologically synapse-like softness. Here, we report a soft multifunctional neurological E-skin (SMNE) comprised of a poly(3-hexylthiophene) (P3HT) nanofiber polymer semiconductor-based stretchable synaptic transistor and multiple soft artificial sensory receptors, which is capable of effectively perceiving force, thermal, and light stimuli. The stretchable synaptic transistor can convert electrical signals into transient channel currents analogous to the biological excitatory postsynaptic currents. And it also possesses both short-term and long-term synaptic plasticity that mimics the human memory system. By integrating a stretchable triboelectric nanogenerator, a soft thermoelectric device, and an elastic photodetector as artificial receptors, we further developed an SMNE that enables the robot to make precise actions in response to various surrounding stimuli. Compared with traditional neurological E-skin, our SMNE can maintain the softness and adaptability of biological synapses while perceiving multiple stimuli including force, temperature, and light. This SMNE could promote the advancement of E-skins for intelligent robot applications. Video Video S1.mp4 Video S2.mp4 Video S3.mp4