Colour images become abundant because of the low cost of the acquisition devices and the advent Internet. Starting from that, the definition of new algorithms for colour image processing is seen as extremely important. Among, these algorithms, the compression is of a high importance for applications such as archiving, transmission, etc. In addition, the availability of techniques allowing to compare faithfully the results quality is very necessary. The subjective evaluation of the colour image quality came into focus because of the “failure” of the objective criteria to offers good results in terms of human perception. In general, objective and subjective evaluation of compressed images can lead to significant different conclusions. This paper deals with the problem of quality assessment for the new compression standard JPEG2000. Its aim is to compare different implementation of the standard and to offer a point of view on the assessment of this kind of algorithms.