［Purposes］ It studied the integral weight kernel estimators of nonparametric regression functions which is proposed by Gassor and Müller under AANA errors. ［Methods］ By using truncation method and exponential inequality of AANA sequence, it obtained the complete consistency of integral weight kernel estimators of nonparametric regression functions. ［Findings］ The results extended the existing related conclusions. ［Conclusions］ Some simulations are illustrated to verify the validity of our results.