Suppose X is a super-α-stable process in Rd, (0 ＜α＜ 2), whose branching rate function is dt, and branching mechanism is of the form ψ(z) = z1+β (0 ＜β≤ 1). Let Xτ and Yτ denote the exit measure and the total weighted occupation time measure of X in a bounded smooth domain D, respectively. The absolute continuities of Xτ and Yτ are discussed.