  We investigate the ground state crystalline structure of nuclear matter in
the $\omega$-meson variant of the Skyrme model. After minimizing energy with
respect to variations of both the Skyrme field and the period lattice, we find
four distinct periodic solutions which are similar to those found in the
standard Skyrme model. We use these crystals to calculate coefficients in the
Bethe--Weizs\"acker semi-empirical mass formula and the compression modulus of
infinite nuclear matter, and find a significant improvement as compared with
other variants of the Skyrme model.
