The delivery of genetic material to mammalian cells is of great importance for modern fundamental biology, biomedicine, biotechnology, agriculture, and veterinary medicine. The development of new efficient techniques of gene transfer to human cells led to the advent of gene therapy, a novel approach to treating severe metabolic disorders, some viral infections (including HIV infection), autoimmune diseases, and genetic defects causing cancer. The review considers the main principles of constructing gene transfer and expression systems based on lentiviruses, a powerful tool for human gene therapy and transgenic research, with a special focus on the genome structure and life cycle of lentiviruses and the design and safety of lentiviral vector systems.