Polymer memristors represent a highly promising avenue for the advancement of next‐generation computing systems. However, the intrinsic structural heterogeneity characteristic of most polymers often results in organic polymer memristors displaying erratic resistive switching phenomena, which in turn leads to diminished production yields and compromised reliability. In this study, a two‐dimensionally (2D) conjugated polymer, named PBDTT‐BPQTPA, was synthesized by integrating the coplanar bis(thiophene)‐4,8‐dihydrobenzo[1,2‐b:4,5‐b]dithiophene (BDTT) as an electron‐donating unit with a quinoxaline derivative serving as an electron‐accepting unit. The incorporation of triphenylamine groups at the quinoxaline termini significantly enhanced the polymer's conjugation and planarity, thereby facilitating more efficient charge transport. The fabricated polymer memristor with the structure of Al/PBDTT‐BPQTPA/ITO exhibited typical non‐volatile resistive switching behavior under high voltage conditions, along with history‐dependent memristive properties at lower voltages. The unique memristive behavior of the device enabled the simulation of synaptic enhancement/inhibition, learning algorithms, and memory operations. Additionally, the memristor demonstrated its capability for executing logical operations and handling decimal calculations. This study offers a promising and innovative approach for the development of artificial neuromorphic computing systems.This article is protected by copyright. All rights reserved