  We give two congruence properties of Hermitian modular forms of degree 2 over
$\mathbb{Q}(\sqrt{-1})$ and $\mathbb{Q}(\sqrt{-3})$. The one is a congruence
criterion for Hermitian modular forms which is generalization of Sturm's
theorem. Another is the well-definedness of the $p$-adic weight for Hermitian
modular forms.

Number Theory