The quantum information is a new interdisciplinary science in the 21st century

and it has become a research field which attracts strongly much attention in the world. Recently

the study of the quantum computer is in the ascendant. In the process of finding a scheme for quantum computation

quantum chaos aroused much attention. It has been shown that it is possible to induce quantum chaos when running quantum computer and consequently it may destroy the operational condition of the quantum computer. The relationship between quantum entanglement and quantum chaos has already been investigated

and the spin squeezing is regarded as another classical quantum property indeed

then is there a natural relationship between quantum chaos and spin squeezing? In this paper a very typical QKT model in the quantum chaos has been discussed

and the properties of spin squeezing in the quantum chaotic system has been studied. The relation between spin squeezing parameters and chaotic parameter in the two different definitions is worked out by numerical calculation. The stronger that the regular regions are than chaotic ones

which are chosen firstly

in the classical phase space

the stronger the spin system which the initial states locate at the centre of elliptical regions as a result. If the initial states are chosen another condition

the contrary result is obtained naturally. It indicates the spin squeezing is very sensitive to the classical chaos and the classical chaos suppresses the spin squeezing. It is interesting that the definition by Wineland is more sensitive than the one by Kitagawa and Ueda

consequently a conclusion

which the quantum chaos can be described by spin squeezing

is acquired.