Abstract: Some properties of Super-Brownian motion have been approached by Dawson & Hochberg[1], Iscoe[2] &[3], Konnô & Shiga[4] and so on. In this paper, we limit our attention to the occupation time processes of the Super-Brownian motion,and try to give an intuitive proof for their absolute continuity with respect to the Lebesgue measure on R^d (d ≤ 3) when the initial measure of the Super-Brownian motion has the absolute continuity.

Key words: Super-process, Occupation time process, Absolute continuity