The present invention relates to a novel isolated antibody, or the derived compounds or functional fragments of same, capable of binding to CXCR4 but also of inducing conformational changed of the CXCR4 homodimers and/or heterodimers. More particularly, the present invention relates to the 414H5 and 515H7 antibodies, specific to the CXCR4 protein, as well as their use for the treatment of cancer. Pharmaceutical compositions composed of such antibodies and a process for the selection of such antibodies are also covered.