We study the evolution of primordial power spectra during inflation in the context of Horava Lifshitz gravity. In this context, scalar perturbations are generally divided by 2 different d.o.f ; an inflaton fluctuation and a scalar graviton due to Lorentz invariance violation. However, we reveal that only the inflaton fluctuation contributes to a primordial curvature perturbation because the scalar graviton acquires its mass much larger than Hubble scale. Besides, the curvature perturbation becomes adiabatic, which is consistent with current observations of the Cosmic Microwave Background. In addition we find that a primordial gravitational waves provide a direct evidence of Lorentz invariance violation.