H-modes operated at higher li with the current ramp down have shown higher energy confinement with higher density in JT-60U. The H-factor evaluated for the core plasma depends strongly on li with the relation of for the case without sawtooth activities. Centre peaked profiles of electron density and electron temperature are obtained in high li H-modes. While the peripheral current density profiles are largely modified by the current ramp, the pedestal pressure is not significantly changed. The enhanced energy confinement in high li H-modes is attributed to the core improvement with the peaked profiles of electron density and electron temperature while no explicit difference in pedestal profile is observed. The electron heat diffusivity is reduced at the plasma core in the high li case, resulting in the centre peaked Te profile while the Ti profiles are approximately unchanged.