Isolated fully human monoclonal human anti-RANTES antibody or fragment thereof, wherein said antibody comprises: a) a VH CDR1 region comprising the amino acid sequence of SEQ ID NO: 8; a CDR2 region of VH comprising the amino acid sequence of SEQ ID NO: 9; a CDR3 region of VH comprising the amino acid sequence of SEQ ID NO: 20; a CDR1 region of VL comprising the amino acid sequence of SEQ ID NO: 14; a CDR2 region of VL comprising the amino acid sequence of SEQ ID NO: 15; and a CDR3 region of VL comprising an amino acid sequence of SEQ ID NO: 16, or b) a CDR1 region of VH comprising the amino acid sequence of SEQ ID NO: 8; a CDR2 region of VH comprising the amino acid sequence of SEQ ID NO: 9, a CDR3 region of VH comprising the amino acid sequence of SEQ ID NO: 10; a CDR1 region of VL comprising the amino acid sequence of SEQ ID NO: 14; a CDR2 region of VL comprising the amino acid sequence of SEQ ID NO: 15; and a CDR3 region of VL comprising an amino acid sequence of SEQ ID NO: 16 or c) a CDR1 region of VH comprising the amino acid sequence of SEQ ID NO: 28; a CDR2 region of VH comprising the amino acid sequence of SEQ ID NO: 29; a CDR3 region of VH comprising the amino acid sequence of SEQ ID NO: 30, a CDR1 region of VL comprising the amino acid sequence of SEQ ID NO: 34; a CDR2 region of VL comprising the amino acid sequence of SEQ ID NO: 35; and a CDR3 region of VL comprising an amino acid sequence of SEQ ID NO: 36; wherein said antibody binds to RANTES.Anticuerpo anti-RANTES humana monoclonal completamente humano aislado o fragmento del mismo, en el que dicho anticuerpo comprende: a) una región CDR1 de VH que comprende la secuencia de aminoácidos de SEQ ID NO: 8; una región CDR2 de VH que comprende la secuencia de aminoácidos de SEQ ID NO: 9; una región CDR3 de VH que comprende la secuencia de aminoácidos de SEQ ID NO: 20; una región CDR1 de VL que comprende la secuencia de aminoácidos de SEQ ID NO: 14; una región CDR2 de VL que comprende la secuencia de aminoác