This chapter deals with the existence of solution to nonlinear integral inclusions and functional integral equation carried in Banach space and in suitable Banach algebras (Banach algebra, Banach algebra satisfying condition \((\mathscr {P}),\) RWC-Banach algebra and generalized Banach algebra). This class of nonlinear inclusions, as special cases, includes some classes of nonlinear functional differential inclusions which studied in [87,88,95]. The studies of nonlinear integral equations and differential equations in Banach algebras have been discussed for a long time in the literature.