One of the challenges of designing neural front-end is to reject the DC offset from electrodes. The conventional AC-coupled solution is to utilise large input capacitors and pseudo-resistors, which have the key limitations of area, linearity and DC drift. In this paper, we propose a DC-coupled solution based on the hybrid CMOS/memristor technique. The spike detection is realised by thresholding in the proposed front-end, which consists of a memristive amplifier and a DLC. The amplifier boosts micro-volt neural signals to milli-volt through integration, making it recognised by the DLC. In addition, the memristor is utilised as a trimming device along the current branch for the purpose of tuning the offset voltage. The proposed front-end is capable of rejecting up to 50mV DC offset, while maintaining high accuracy and low power consumption.