the odd part of the finite-dimensional odd Hamiltonian superalgebras

over a field of characteristic $p>3,$ by using the generating set of

the even part and calculating the action of derivations on its

generating set, the nonnegative $\mathbb{Z}$-homogeneous derivations

of the even part into the odd part were determined. Furthermore, by

applying the properties of the even part, the negative

$\mathbb{Z}$-homogeneous derivations of the even part into the odd

part were given. Therefore, all derivations of the even part into

the odd part of the finite-dimensional odd Hamiltonian superalgebras

were characterized, which has important significance to further

study the structure, the representation and the classification of

Lie superalgebras.