  We introduce the novel concept of a bound state in the continuum (BIC) for a
binary lattice satisfying the ${\mathcal{P T}}$ symmetry condition. We show how
to build such state and the local potential necessary to sustain it. We find
that an appropriate choice of the envelope function can bring the system from a
${\mathcal{P T}}$-symmetric phase into a Hamiltonian one. For more general
envelope functions, the BIC can still be created but the bounded state will
force the system to undergo the ${\mathcal{P T}}$ symmetry breaking transition.
