The Purpose of this paper as a first report is to show the theoretical change and development of the Applied Trainingscience in the GDR. The following kind of result was obtained : 1. About data and documents collection 1) "Theorie und Praxis der Leistungssport (theory and practice of elite sport)(1963-1990)". This is reserch bulletin of the Reserch Institute for Physical Culture and Sport in the GDR. 2) Concerning the textbook, it could collect typical ones, "Trainingswissenschaft (trainingscience)"(1994, 1997, 2003), "Bewegungslehre-Sportmotorik (movement theory-sport kinematics)"(1960, 1976, 1987), "Sportmotorik"(1978, 1984, 1987), 3) Concerning the research report, the reporst as not yet publication of the Reserch Institute for Physical Culture and Sport laboratory was collected on the Applied Trainingscience Center in Germany. 4) Concerning the textbook of the German College for Physical Culture and Sport in Leipzig, typical ones were collected. 5) Concerning doctor qualification dissertation, it could collect typical ones every of area. 2. About the study on terminology of trainingscience 2. 1. One of th feature of the Leipziger' trainingscience is the development of terminology. Proposing the terminology of, for example, "performance prerequisite", "performance structure", "performance execution" and so on, the Sporttrainer observes the performance with the tournament scene and in order to be able to analyze, supports. 2. 2. About an interdisciplinary sport-specific approach to the benefit of athletic performance.This approach emphasized the individual case aspect. This individual case study is seriously considered as a central research modulo of the trainingscience which designates the trainingsystem of the multi primary factors as the object. 3. Directing to future research East German sportsscience research system is suggest as the case as part of a link between theory and practice in educational actibities. But accumulation of the research was restricted being enormous. In the future the detailed data analysis in each field becomes necessary.