In order to find factors which influences on short message spreading, we compare short message propagation on three networks: scale-free, small-world and true-life short messages networks. The topology of short message network and the behaviors of mobile phone users play important roles in determining the behavior of a short message spreading. The impact of the scale-free network on the spread of short messages is twofold: messages spread more quickly than on small-world or true-life short messages networks, but longevity of short message is less than the other networks. Some behaviors of mobile phone users obviously influence the process of short message spreading. Meanwhile, we found that the longevity of short message relate to network diameter.