Antibodies are produced by lymphocytes, which are formed in lymph nodes. Lymphocytes produced antibodies in response to the presence of pathogens such as bacteria.This is because alien cells have chemicals called antigen on their surface. A different antibody is produced for each antigen.The antibodies make bacteria clump together in preparation for action by phagocytes, or neutralise toxins produced by the bacteria.his is because alien cells have chemicals called antigen on their surface. A different antibody is produced for each antigen. The antibodies make bacteria clump together in preparation for action by phagocytes, or neutralise toxins produced by the bacteria.