Recombinant adeno-associated viruses (rAAVs) are promising vectors for the delivery of various genetic constructs into eukaryotic cells. rAAVs have a number of properties that make it possible to successfully use them both in vitro and in vivo. Purification and concentration of rAAV vectors are critical for achieving high viral titer, stability, efficiency, and purity. This review systematically analyses all available purification approaches. The purification methods described in this work differ substantially from each other in mechanisms, efficiency, labor time, and cost. Researchers have to choose a purification algorithm depending on the purpose of their work. We strive to simplify the choice of the necessary and sufficient technique based on the experimental needs and available resources of the laboratory.