  Based on 7.33 fb$^{-1}$ of $e^+e^-$ collision data taken at center-of-mass
energies between 4.128 and 4.226 GeV with the BESIII detector, we measure the
branching fraction of $D^{*+}_s\to D^+_s\pi^0$ relative to that of $D^{*+}_s\to
D^+_s\gamma$ to be $(6.16\pm 0.43\pm 0.19)\%$. The first uncertainty is
statistical and the second one is systematic. By using the world average value
of the branching fraction of $D^{*+}_s\to D^+_se^+e^-$, we determine the
branching fractions of $D^{*+}_s\to D^+_s\gamma$ and $D^{*+}_s\to D^+_s\pi^0$
to be $(93.57\pm0.44\pm0.19)\%$ and $(5.76\pm0.44\pm0.19)\%$, respectively.
