Tensegrity is composed of structures that are characterized by compressive elements (bars) and tension elements (cables) that work together to transmit and/or withstand forces in an efficient and balanced manner. Their kinetic analysis, design, and control are study topics with various methods still being explored. Furthermore, research and development have been conducted in different areas such as architecture, engineering, biomechanics and robotics, exploring lightweight and resilient tensegrity structures for more flexible and adaptable movements. Tensegrity is a structure increasingly used and studied in different areas, thanks to its ability to transmit forces efficiently and its versatility in the application of designs and solutions in different areas. So, this review presents initial definitions of this area, as well as recent methods and applications that have been developed and are the focus of study for future advances.