Abstract: When the vibration-compaction system works, the materials used are deformed plastically under compaction, then the relationship between elastic resilience and displacement of the system presents nonlinearity and hysteresis. To study the dynamic characteristics of a vibration-compaction system, a 2-DOF model with piecewise curves and asymmetric hysteresis loop was developed, to which a solution introducing the transfer matrix was given. Describing what states every element is in mathematically in the model and analyzing all the data with simulation software, the results showed that the data thus obtained basically coincide with that computed by the transfer matrix equation, i.e., the transfer matrix model we developed approaches to actualities, thus providing an important reference for the dynamic analysis of relevant systems.