Support for temporal data continues to be a requirement posed by many applications such as VLSI design and CAD, but also in convetional appications like banking and sales. furthermore, the strong demand for complex-object support is known as an inherent fact in design applications, and also emarges for advanced "conventional" applications. thus, new advanced database management systems should include both features, i.e, should support temporal complex-objects. in this paper, we present such a temporal complex-object data model. the central notion of our temporal com-plex-objects data model is a time slice. representing one state of a complex object. we explain the mapping of time slices onto the complex objects supported by the MAD model (which we use for an example of a non-temporal complex-objects data model) as well as the transformation process of operations on temporal complex- objects into MAD model operations. thereby, the basic properties of the MAD model are a prerequisite for our approach. for example, time slices can only be directly stored, if non-disjunct (i.e.over- lapping) complex objects arew easily handled in the underlying complex-object data model.