  The mod $p$ kernel of the theta operator is the set of modular forms whose
image of the theta operator is congruent to zero modulo a prime $p$. In the
case of Siegel modular forms, the authors found interesting examples of such
modular forms. For example, Igusa's odd weight cusp form is an element of mod
23 kernel of the theta operator. In this paper, we give some examples which
represent elements in the mod $p$ kernel of the theta operator in the case of
Hermitian modular forms of degree 2.
