An apparatus and a method for Low-density parity-check (LDPC) decoding are provided. The apparatus for LDPC decoding comprises a post effective noise variance estimation unit for estimating a post effective noise variance based on a preamble in a received signal, an LLR calculation unit for calculating an LLR based on the estimated post effective noise variance, and a decoding unit for performing LDPC decoding based on the calculated LLR. The post effective noise variance estimation unit comprises a channel frequency response estimation unit for estimating a channel frequency response based on the preamble in the received signal, a noise variance estimation unit for estimating a noise variance based on the preamble in the received signal, and a post effective noise variance calculation unit for calculating the post effective noise variance based on the channel frequency response and the noise variance.