Novels antibodies, preferably monoclonal antibodies, or antigen-binding fragments thereof, said antibody or fragment thereof specifically binding to CD5. These antibodies may be used as a medicament, especially in the treatment of diseases in immunomodulation, inflammation, virology, infectiology, autoimmunity and oncology domains. Immune cells and/or cancer cells targeted by the invention are expressing CD5 antigen. These antibodies may be in particular chimeric or humanized. The invention also relates to pharmaceutical compositions, such as immunomodulator, anti-cancerous and anti-infectious compositions, containing such an antibody or antigen-binding fragment and methods of use of these, either for laboratory work, in drug manufacturing, such as in cell therapy cells production, or for medical treatment.