  Let $W_{\overline{1}}$ and $H_{\overline{0}}$ denote the odd parts of the
general Witt modular Lie superalgebra $W$ and the even parts of the Hamiltonian
Lie superalgebra $H$ over a field of characteristic $p>3$, respectively. We
give a torus of $H_{\overline{0}}$ and the weight space decomposition of the
special subalgebra of $W_{\overline{1}}$ with respect to the torus. By means of
the derivations of the weight 0 and three series of outer derivations from
$H_{\overline{0}}$ into $W_{\overline{1}}$, the derivations from the even parts
of Hamiltonian superalgebra to the odd parts of Witt superalgebra are
determined.
