Speed climbing is the most dynamic discipline among all climbing sports. Previous studies have emphasized the combined strength and speed character of speed climbing (determined by high level of anaerobic power of the muscles). The main aim of this study was to evaluate the level of mechanical power of the muscles generated during specific climbing movements in competition speed climbing at the level of the final rounds of the IFSC World Cup. The material for the study was provided by the somatic data and scores obtained by six speed climbers who regularly participated in speed climbing events during the IFSC World Cup. The analyses were performed based on the results derived from the IFSC World Cup played on 7 to 8 May 2016 in Nankin, China. The findings of this study lead to the following conclusions: Development of the level of relative anaerobic power in speed climbers represents the basis for the training process. The Margaria–Kalamen formula is likely to represent a valuable tool for evaluation of the level of sport-specific power in speed climbing. One of the determinants of high sportspecific power in speed climbing is high level of technical skills. The values of sport-specific power parameters can be useful in recruitment of athletes in speed climbing