  Using Rindler method we derive the logarithmic correction to the entanglement
entropy of a two dimensional BMS-invariant field theory (BMSFT). In particular,
we present a general formula for extraction of the logarithmic corrections to
both the thermal and the entanglement entropies. We also present a CFT formula
related to the logarithmic correction of the BTZ inner horizon entropy which
results in our formula after taking appropriate limit.
