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 then-use for the treatment of cancer. Pharmaceutical compositions composed of such antibodies and a process for the selection of such antibodies are also covered.