The significance of flexibility training for athletes lies in its ability to enhance performance, reduce the risk of injury, and improve range of motion. Flexibility training includes activities like stretching and yoga, which help to maintain optimal muscle balance and promote better posture. This form of training can also aid in faster recovery after intense workouts by improving blood flow to the muscles. Additionally, increased flexibility allows athletes to achieve a wider range of motion, translating to improved technique and efficiency in their respective sports, thereby potentially enhancing overall athletic performance.