In this study we have calculated the fluctuation conductivity near critical temperature of SmFeAsO 0.8 F 0.2 superconductor using two-band Ginzburg-Landau theory. It was illustrated that in the absence of external magnetic field, the two-band model reduced to a single effective band theory with modified temperature dependences. The calculations revealed three-dimensional character of fluctuations of conductivity in the new Fe-based superconductor SmFeAsO 0.8 F 0.2 . It has been shown that such a model is in good agreement with experimental data for this compound.