  Let $\mathfrak{g}$ be a finite dimensional complex simple classical Lie
superalgebra and $A$ be a commutative, associative algebra with unity over
$\mathbb{C}$. In this paper we define an integral form for the universal
enveloping algebra of the map superalgebra $\mathfrak{g}\otimes A$, and exhibit
an explicit integral basis for this integral form.
