The main aim of this paper is to characterize the basic properties of more general operators called weighted composite integral operators and weighted composite operators of Hardy type. The authors also explore the adjoints of a weighted composite integral operator. A condition for a weighted composite integral operator to be Hermitian is given. It is shown that the spectrum of a weighted composite operator of Hardy type is consisting of 0 only. The proofs are standard, using the Schwarz inequality in Hilbert spaces and the variable change method.