Fast spreading Internet worms, such as Code Red and Slammer, have become one of the new major throne of the Internet recently. In order to defend against theses worms, it is essential to understand how Internet worms propagate and how different Internet factors affect worm spreading. In this paper, we intend to describe the spread of worms on Internet environments accurately. Therefore we model and analyze the spreading effects by various simulations considering Internet addressing and speed. The results lead to a better prediction of the worm spreading on current and future Internet environments.