Estimation of muscle forces during human motions is important in the fields of sport, ergonomics and bioengineering in order to improve sport techniques, rehabilitation procedures, product designs and work environments, and so on. In general, in the musculoskeletal models that have been developed, the functions of antagonistic muscles and biarticular muscles are not considered to estimate muscle forces. In this study, a musculoskeletal model that considered the functions of the antagonistic muscles and biarticular muscles was investigated. In this model, muscles acting across the hip, knee and ankle joints were treated simultaneously. Furthermore, in this study, standing long jump as dynamic motion was conducted to validate the proposed model to estimate muscle forces. Surface electromyograms (EMGs) of tibialis anterior, gastrocnemius, soleus, rectus femoris, vastus lateralis, semimembranosus, biceps femoris and short head and gluteus maximus were measured to compare with the estimated muscle forces. The experimental results showed that the muscle forces estimated by the proposed method had a good agreement with the EMGs of muscles.