  The Born cross sections of the $e^+e^-\to D^{*+}D^{*-}$ and $e^+e^-\to
D^{*+}D^{-}$ processes are measured using $e^+e^-$ collision data collected
with the BESIII experiment at center-of-mass energies from 4.085 to 4.600 GeV,
corresponding to an integrated luminosity of $15.7~{\rm fb}^{-1}$. The results
are consistent with and more precise than the previous measurements by the
Belle, Babar and CLEO collaborations. The measurements are essential for
understanding the nature of vector charmonium and charmonium-like states.
