  The cross section of the process $e^{+}e^{-}\to\omega\pi^{0}\pi^{0}$ is
measured at nineteen center-of-mass energies from 2.0 to 3.08 GeV using data
collected with the BESIII detector at the BEPCII storage ring. A resonant
structure around 2.20 GeV is observed with statistical significance larger than
$5\sigma$. Using a coherent fit to the cross section line shape, the mass and
width are determined to be $M=2222\pm7\pm2~{\rm MeV}/c^2$ and
$\varGamma=59\pm30\pm6~{\rm MeV}$, respectively, where the first uncertainties
are statistical and the second ones are systematic.
