It is important for programmers to understand the semantics of a programming language. However, little work has been done about the semantic descriptions of HPF-like data-parallel languages. In this paper, we first define a simple language [Formula: see text], which includes the principal facilities of a data-parallel language such as HPF. Then we present a denotational semantic model of [Formula: see text]. It is useful for understanding the components of an HPF-like language, such as data alignment and distribution directives, forall data-parallel statements.