[en] We examine the effect of an assumed variation in Planck's constant h on the element abundances produced by nucleosynthesis in the standard hot big-bang model of the universe. In order to be consistent with current estimates of the primordial helium and deuterium abundances, we find that at epoch of nucleosynthesis (a red shift z approx. = 10⁸--10¹⁰, t approx. = 10^-1--10³ sec after the initial event), 0.2 < or approx. = h/sub nucleosynthesis//h /sub present/ < or approx. = 3. This result supports the applicability of the local laws of physics to the earliest epoch of the universe examined to date