Let S be a finite regular semigroup. We define the principal left ideal graph of S as the graph with V and two vertices a and b are adjacent in if and only if The principal right ideal graph is defined accordingly and is denoted by In this paper, we study the principal ideal graphs of inverse semigroups. We prove that and are connected, when S is an inverse semigroup. We also see that the principal ideal graph of a symmetric inverse semigroup is always complete.