A new method is developed to treat the ferromagnetic and the antiferromagnetic kinematic interactions. All the kinematic interactions can be represented by means of every order correlation functions. It is shown that the ferromagnetic system (s=1/2) does not involve the T3-term at low temperature. For the antiferromagnetic system, we find that the kinematic interaction is large than the dynamic interaction even at low temperature. Our theory is good for all spin values s as well.