The concept of lattice Virasoro symmetry in completely integrable mode
ls of statistical mechanics is discussed in parallel with the notion o
f lattice Poincare symmetry. To illustrate the general idea, we make a
n explicit construction of the full Virasoro algebra in terms of the l
attice fermion field of the free-fermion six-vertex model in an extern
al noncritical held. The conserved charges that characterize complete
integrability are similarly obtained.