Antibodies, or antigen-binding fragments thereof, that bind to Lymphocyte-activation gene-3 (LAG-3) are described, in particular antibodies, or antigen-binding fragments thereof, that are agonists of LAG-3. The antibodies bind to LAG-3 and inhibit antigen-induced CD4+ and/or CD8+ T cell proliferation, or antigen-induced CD4+ and/or CD8+ T cell activation. The antibodies may be used as medicaments, in particular for the treatment of conditions associated with proliferation and/or activation of CD4+ and/or CD8+ T cells, such as inflammatory and autoimmune disorders.