The purpose of this paper is to investigate the effects of the dynamical parameters, the spin-orbit coupling, the spin-spin coupling and the classification of orbits on the gravitational waveforms emitted by the conservative post-Newtonian Hamiltonian system for the spinning compact binaries by means of symplectic integrator and power spectrum. The numerical results show that the gravitational waveforms of ordered orbits vary periodically with time, while those of chaotic orbits are stochastic under the radiation--reaction force turning off. In particular, the chaotic dynamic behavior can enhance the strength of emission power. In addition, the magnitude of the spin parameter does exert a significant influence on the gravitational waveforms.