Opinion dynamics under the influence of the contrarian deterministic effect and human mobility on finite two-dimensional lattices is studied.In the model, the opinion is the binary variable and some shortcuts are added in the lattice with the adding probability Ps.At each time step,each agent is chosen as the mobile one with probability pm and moves to one of his immobile neighbors along shortcuts randomly on the lattice, and the immobile agents update their opinions based on the majority-rule with probability pf as the Fermi form of the interaction noise T due to the contrarian deterministic effect.We find that there exists the critical interaction noise Tc, where the order parameter η reaches its maximal value.And human mobility enhances the formation of community when T and independent of the network size N through the theoretical and numerical analysis, Furthermore, we also find that the system with larger degree has stronger robustness in the opinion formation with the contrarian deterministic effect.