The so-called address-flow principle is described: a valveless, electroosmotically driven technology used for controlling the stream profile in a laminar flow chamber. The method is explained, and a theoretical description and experimental verification are presented. Adjustment of the flow of two electroosmotically controlled guiding streams, running parallel to a central sample stream, can be used for positioning the sample stream in the dimension perpendicular to the flow direction. The results presented show that address-flow microfluidics allow easy and accurate control of sample stream position and width. The electroosmotic flow (EOF)-controlled guiding of microfluidic flows described in this paper, is a new unit operation that might aid in separation and collection in microfluidic devices. One possible application of address-flow microfluidics is guiding of capillary electrophoresis-separated components over a multisensor array, in order to perform affinity assays.