This dissertation presentes a low bit rate image coder using a 10 sub-band image decomposition base don the wavelet transform. Some blocks of coefficients of the high frequency sub-bands are discarded by a technique of irrelevancy reduction. The remaning blocks are classified into edges and non-edges, and coded by ECTCVQ (Entropy- constrained Trellis Vector Quantization). The fist sub- band is coded by an edge preserving PTCQ (Predictive Trellis Coded Quantization), also proposed in this work. The Westerink et al. algorithm is used to allocate the bits between the sub-bands. The results obtained show that the performance of the proposed coder is Significantly superior so the one obtained with the standard JPEG. Moreover, good results are achivied as compared to recently proposed techniques of images coding.