The object of this invention is the use of an antibody or a fragment thereof specific against NK1, NK2 and/or NK3 receptors of cells, for the manufacture of a medicament for the therapeutic management of human cancer, by direct administration to a mammal, including humans, by inducing cell death or apoptosis of tumour cells, modification of peritumoural microenvironment (consisting of stromal cells, stromal matrix, and intra and peritumoural vascularisation) and/or inflammatory and/or immune response around the tumour. In particular, in the case of melanoma, carcinoma (specially, breast carcinoma, lung, digestive system, prostate, cervix, endometrium, ovary and bladder), leukaemia, lymphomas, neoplasms, such as neuroblastoma and sarcoma, such as osteosarcoma.