Transport and localized translation of mRNA is crucial for the proper spatiotemporal organization of proteins within cells. Distribution of RNAs to subcellular domains has recently emerged as a major mechanism for establishing functionally distinct compartments and structures in the cells. There is an emerging evidence that active transport of mRNA involves cytoskeleton and membrane trafficking pathways in fungi, plants and animals, suggesting that it is a common phenomenon among eukaryotes. The important highlights are that the RNA-binding proteins recognize the cargo mRNA and that RNPs are actively transported on the cytoskeletal tracks or co-transported with membranous compartments, such as the endoplasmic reticulum and endosomes. The interest of scientists has expanded over the past years in response to the discoveries that RNA can be exported from cells to play a role in the intercellular communication. In this review, we will focus on characterization of the RNA transport both, within a cell and between cells, and on the currently proposed mechanisms for RNA targeting.