Abstract: An improved coupled dynamically integer tent mapping model is designed and a counter mechanism in Rabbit stream cipher is introduced in this model. Aimed at the short-period phenomenon of integer tent mapping, the chaotic sequence generated by four different integer tent mapping models was analyzed periodically from the perspectives of extended precision, dynamic disturbance and extended dimension. It was proved that the improved model could greatly improve the short-period phenomenon of integer tent mapping. According to the chaotic characteristics of the model, such as correlation, initial value sensitivity, discrete Lyapunov index, randomness of NIST, etc., simulation analysis was carried out. The results show that the model has excellent performance and high cryptography application value.