Summary: For a system of nonlinear integral equations, we use Perov’s fixed point theorem, the general data dependence theorem and the fiber generalized contraction theorem given by I. A. Rus, in order to establish the conditions concerning existence and uniqueness of the solution in the Banach space \(C([a,b],\mathbb R^m)\), continuous data dependence of the solution and a theorem on the differentiability of the solution with respect to parameters \(a\) and \(b\). Two examples are given.