In this paper, we analyze the performance of two way amplify-and-forward (AF) relaying with best relay selection scheme in the presence of hardware impairment at the relays. We first obtain the tractable closed-form expressions of the statistical characteristics for end-to-end signal-to-noise ratio (SNR). To reveal significant insights into the system performance, we also computed the asymptotic SEP, which is shown extremely tight in the high SNR regime and low hardware impairments level. Our analysis enables us to evaluate the impact of non-ideal hardware
on the performance of two-way relaying networks and highlight as a benchmark for system designer.