  In this paper, we consider the deformed Hermitian-Yang-Mills equation on
closed almost Hermitian manifolds. In the case of hypercritical phase, we
derive a priori estimates under the existence of an admissible
$\mathcal{C}$-subsolution. As an application, we prove the existence of
solutions for the deformed Hermitian-Yang-Mills equation under the condition of
existence of a supersolution.
