For epoch of more than one billion transistors and 1000 ALUs in one chip, stream architecture based on kernel-stream model has turned out to be a hotspot. In light of this, a discussion on evolution of stream architechture is made. Firstly, the background of stream computation is given and features of the representative stream architechitures are summaries. Then, the architecture, processing model, parallelism, on-chip memory, application of some stream architectures are presented. The current dramatic changes and ongoing development trends of hardware and software design in stream processor are discussed in this paper.