  The cross section of the process $e^+e^- \to K_S^0 K_S^0\pi^+\pi^-$ has been
measured using a data sample of 56.7 pb$^{-1}$ collected with the CMD-3
detector at the VEPP-2000 $e^+e^-$ collider. 596$\pm$27 and 210$\pm$18 signal
events have been selected with six and five detected tracks, respectively, in
the center-of-mass energy range 1.6--2.0 GeV. A study of the production
dynamics confirms the dominance of the $K^*(892)^+ K^*(892)^-$ intermediate
state.
