The invention relates to a lithium manganese phosphate / carbon nanocomposite as cathode material for rechargeable electrochemical cells with the general formula LixMnyM1-y(PO4)z / C where M is at least one other metal such as Fe, Ni, Co, Cr, V, Mg, Ca, Al, B, Zn, Cu, Nb, Ti, Zr, La, Ce, Y, x=0.8-1.1, y=0.5-1.0, 0.9<z<1.1, with a carbon content of 0.5 to 20% by weight, characterized by the fact that it is obtained by milling of suitable precursors of LixMnyM1-y(PO4)Z with electro-conductive carbon black having a specific surface area of at least 80 m2 / g or with graphite having a specific surface area of at least 9.5 m2 / g or with activated carbon having a specific surface area of at least 200 m2 / g. The invention also concerns a process for manufacturing said nanocomposite.