Systems with pipeline processing capabilities, processors whose computational subsystems are divided into several distinct stages, each of which may be working with an independent set of data at the same instant of time, are one attractive solution to the demand for faster and more cost effective computers. In addition, several of the existing pipelined machines have facilities for a limited amount of restructuring of available resources to provide a system which is more suitable for the efficient execution of a particular problem. The amount of restructuring, or reconfiguration, varies from system to system. The type of reconfiguration, either a reconfiguration of an actual functional unit or a reconfiguration of the information flow between several functional units, varies as well. The reconfigurable aspects of the architecture of several pipelined machines are presented. Performance gains when restructuring is allowed are also examined. Finally, there is a discussion of some possible future reconfigurable pipeline systems.