Solar radiation is the major energy source for entire earth. This causes the variation of solar rahation had strong relation with variation of global temperature. This relation was stuhed more detail by using simulation of zero-dimensional climate model. On this model, the equilibrium system was used to study the effect of solar radiation to temperature change. Overall, the model consists of two mathematical equations that describe conhtion for the atmospheric layer and earth surface system. The outputs of the model consisted of the temperature at the atmospheric layer and the earth surface. They were solved by three numerical methods, namely: Newton-Raphson, Quasi Newton-Raphson and Steepest Descent methods. Absolute error analysis was used to determine the solution for the Newton-Raphson and Quasi Newton-Raphson methods while alpha value for Steepest Descent method. Relation for the solar variation and global temperature change was obtained by assuming the other variables on the equations to be constant as the average value. The relation graphs describe that variation of the solar radiation could cause significant global temperature change. © 2013 Asian Network for Scientific Information.