László B. Szabados 2009-03-24 2009-06-19 Abstract The present status of the quasi-local mass, energy-momentum and angular-momentum constructions in general relativity is reviewed. First, the general ideas, concepts, and strategies, as well as the necessary tools to construct and analyze the quasi-local quantities, are recalled. Then, the various specific constructions and their properties (both successes and deficiencies are discussed. Finally, some of the (actual and potential) applications of the quasi-local concepts and specific constructions are briefly mentioned. This review is based on talks given at the Erwin Schrödinger Institute, Vienna in July 1997, at the Universität Tübingen in May 1998, and at the National Center for Theoretical Sciences in Hsinchu, Taiwan and at the National Central University, Chungli, Taiwan, in July 2000. http://www.livingreviews.org/lrr-2009-4 Max Planck Institute for Gravitational Physics General relativity, Quasi-local angular momentum, Quasi-local energy-momentum, Quasi-local mass Quasi-Local Energy-Momentum and Angular Momentum in General Relativity