Let {Xm(t),t∈R+} be an m-Fold integrated Brownian motion. In this paper,with the help of small ball probability estimate, a functional law of the iterated logarithm (LIL) for Xm(t) is established. This extends the classic Chung type liminf result for this process. Furthermore, a result about the weighted occupation measure for Xm(t) is also obtained.