A multi-dimensional shaping scheme based on multi-level Maximum Average Weight (MAW)-codes is presented. One can reduce the average energy of transmitted signal, by using low energy signal points more frequently than high energy ones. The proposed scheme employs a multi-dimensional region of 2,4,6 and 8 dimensions; these regions are selected using a multi-level MAW-code. A multi-level MAW-code is a q-ary code and has unequal probability of the occurrence of a symbol. The scheme can achieve a shaping gain of 0.6-1.0 dB with small constellation expansion ratio and peak to average energy ratio. This scheme is based on a two-level table look up algorithm. Therefore, the less complexity of encoding/decoding can be realized.