The influence of air turbulence on the transverse wandering of a single femtosecond laser filament is studied by numerical simulation. The results show that the average transverse displacement of the single filament δr is proportional to the square root of turbulent structure constant and the relations between δr and the propagation distance can be fit by a power function. In addition, by using an axicon as a focusing optics, the wandering of a single filament is suggested to be stronger than the free-propagation case.