RNA-binding protein with multiple splicing (RBPMS) is critical for axon guidance, smooth muscle plasticity, and regulation of cancer cell proliferation and migration. Recently, different states of the RNA-recognition motif (RRM) of RBPMS, one in its free form and another in complex with CAC-containing RNA, were determined by Xray crystallography. In this article, the free RRM domain, its wild type complex and 2 mutant complex systems are studied by molecular dynamics (MD) simulations. Through comparison of free RRM domain and complex systems, it's found that the RNA binding facilitates stabilizing the RNA-binding interface of RRM domain, especially the C-terminal loop. Although both R38Q and T103A/K104A mutations reduce the binding affinity of RRM domain and RNA, the underlining mechanisms are different. Principal component analysis (PCA) and Molecular mechanics Poisson-Boltzmann surface area (MM/PBSA) methods were used to explore the dynamical and recognition mechanisms of RRM domain and RNA. R38Q mutation is positioned on the homodimerization interface and mainly induces the large fluctuations of RRM domains. This mutation does not directly act on the RNA-binding interface, but some interfacial hydrogen bonds are weakened. In contrast, T103A/K104A mutations are located on the RNA-binding interface of RRM domain. These mutations obviously break most of high occupancy hydrogen bonds in the RNA-binding interface. Meanwhile, the key interfacial residues lose their favorable energy contributions upon RNA binding. The ranking of calculated binding energies in 3 complex systems is well consistent with that of experimental binding affinities. These results will be helpful in understanding the RNA recognition mechanisms of RRM domain.