  In this article, we show the H\"older invariance of the Henry-Parusinski
invariant. For a single germ $ f$, the Henry-Parusinski invariant of $ f $ is
given in terms of the leading coefficients of the asymptotic expansion of $ f $
along the branches of the generic polar curve of $f$. As a consequence, we
obtain that the classification problem of polynomial function-germs, with
uniformly bounded degree, under H\"older equivalence, admits continuous moduli.
