  Representations of quantum superalgebras provide a natural framework in which
to model supersymmetric quantum systems. Each quantum superalgebra, belonging
to the class of quasi-triangular Hopf superalgebras, contains a universal
R-matrix which automatically satisfies the Yang--Baxter equation. Applying the
vector representation, which acts on the vector module V, to the left-hand side
of a universal R-matrix gives a Lax operator. In this Communication a Lax
operator is constructed for the quantised orthosymplectic superalgebras
U_q[osp(m|n)] for all m > 2, n >\geq 0 where n is even. This can then be used
to find a solution to the Yang--Baxter equation acting on V\otimes V\otimes W,
where W is an arbitrary U_q[osp(m|n)] module. The case W=V is studied as an
example.
