This study aimed to determine the influence of body composition on the muscle fitness of selected judokas. This study was conducted on a sample of 23 judokas (cadets n = 12, juniors n = 11), members of the male national team of Serbia. The assessment of body composition was performed using the InBody 720 (Biospace Co., Ltd., Seoul, Republic of Korea) and calipers. Muscle fitness was assessed using “Optojump” (Microgate, Bolzano, Italy), Fitrodine Premium (Fitronic, Bratislava, Slovakia), and a digital force instrument IMADA Z2H-1100 (Imada Inc., Northbrook, IL, USA). Regression analysis revealed a notable association between muscle mass and measures of explosive strength (countermovement jump (CMJ) p = 0.023; drop jump (DJ) p = 0.026). Moreover, this study’s results showed that back extension (p = 0.006; R2 = 0.61) and hand grip (p = 0.009; R2 = 0.52) provide a strong positive association with muscle mass. The findings suggest that tailored training and nutritional strategies that improve muscle mass might significantly enhance muscle fitness in young judokas, optimizing their performance.