The characteristics of soot deposition on the cold wall in laminar diffusion flames have been numerically analyzed with a two-dimension with the FDS (Fire Dynamics Simulator). In particular, the effects of surrounding air temperature and wall temperature have been discussed. The fuel for the flame is an ethylene ($C_2H_4$). The surrounding oxygen concentration is 35%. Surrounding air temperatures are 300K, 600K, 900K and 1200K. Wall temperatures are 300K, 600K and 1200K. The soot deposition length defined as the relative approach distance to the wall per a given axial distance is newly introduced as a parameter to evaluate the soot deposition tendency on the wall. The result shows that soot deposition length is increased with increasing the surrounding air temperatures and with decreasing the wall temperature. And the numerical results led to the conclusion that it is essential to consider the thermophoretic effect for understanding the soot deposition on the cold wall properly.