Consider a sequence of negatively associated and identically distributed random variables with the underlying distribution in the domain of attraction of a stable distribution with an exponent in(0,2).A Chover’s law of the iterated logarithm is established for negatively associated random variables.Our results generalize and improve those on Chover’s law of the iterated logarithm(LIL)type behavior previously obtained by Mikosch(1984),Vasudeva(1984),and Qi and Cheng(1996)from the i.i.d,case to NA sequences.