Abstract: Bit-interleaved coded modulation with iterative decoding (BICM-ID) is a bandwidth efficient transmission scheme, which is a low complexity alternative to turbo code. The high performance of BICM-ID depends on the interleaver design. A new interleaver based on the chaos theory and golden section is proposed in the study, which outperforms the random interleaver usually used in a BICM-ID system. In comparison to the golden interleaver, the new interleaver has a low correlation and exhibits a significant performance improvement with an acceptable complexity addition. Simulation results in Both Additive White Gaussian Noise (AWGN) channel and Rayleigh fading channel demonstrate the effectiveness of the proposed approach.