Unicity of the solution is an important issue in the Dynamic Traffic Assignment (DTA) problem (Beckmann et al. (1956)). The conditions of unicity have been properly reviewed by Iryo (2013) for flow-based DTA by considering the different approach to solving the DTA problem. Moreover, many researches have been done to prove the unicity of DTA solutions on flow-based dynamic traffic model with several assumptions and limitations on traffic network model (Mounce (2007); Mounce & Smith (2007); Iryo (2011); Iryo (2015); Iryo & Smith (2017)). This study adapts the conditions to trip-based DTA wherein each traveler is defined as an individual.