We investigate the effects of a new 3-α reaction rate (OKK rate) on a He flash of a He accreting neutron star in a binary system. Since ignition points determine the properties of a thermonuclear flash of type I X-ray bursts, we examine the cases of different accretion rates, dM/dt (Ṁ). We find that, at low accretion rates, nuclear burning occurs at the He layers of rather low densities. As a consequence, He ignition would occur at accretion rate lower than M&dot ≃3x10-8M⊙yr-1 Furthermore we find that the OKK rate is consistent with the available observations of X-ray bursts on a He accreting neutron star. We advocate that the OKK rate is better than the previous rate for the astrophysical phenomena of X-ray burst due to He accretion.