The isotopic abundances of the noble gases (He, Ne, Ar, Kr, Xe) are reported for Antarctic meteorite ALHA81005. It contains solar wind-implanted gases whose absolute and relative concentrations are quite similar to lunar regolith samples but not to other meteorites. ALHA81005 also contains a large excess 40Ar component which is identical to the component in lunar fines implanted from the lunar atmosphere. Large concentrations of cosmogenic 21Ne, 82Kr and 126Xe in ALHA81005 indicate a total cosmic ray exposure age of ≥2¿108 years. The noble gas data alone are strong evidence for a lunar origin of this meteorite.