This paper introduces two methods for constructing the effective lagrangian of gravitational bosons: the CCWZ method and the topological method, and then uses these two methods to calculate the symmetry breaking SO(4)/SO(3) of the effective lagrangian of the gravitational boson. By comparing the results, it is found that the effective lagrangian constructed by the two methods is consistent, which further proves that the topological method is useful in constructing the effective lagrangian of the gravitational boson effectiveness.