| Let F be the underlying base field of characteristic p>2.1n this paper, we construct a class of infinite dimensional modular lie superalgebra S(r,q,l,m), and we give out its derivation superalgebra Der(S(r, q,l, m)). We study S(r,q,l,m), and the Z-graded of its derivation superagebra Der(S(r, q,l,m)).Then the structure and properties of its derivation superagebra Der(S(r,q,l,m))are determined. |