The North Atlantic Oscillation (NAO) is a large-scale variation of sea level pressure in the North Atlantic between the Iceland Low and the Azores High which determines the winter atmospheric circulation and weather over most of Europe. Closely related to NAO is the Northern Annular Mode (NAM) which is defined at different levels in the atmosphere. NAO and NAM are sensitive to solar forcing, however the relations are not linear. It was recently demonstrated that atmospheric circulation has higher correlation with the solar open flux than with solar radiation which is proportional to the solar closed flux. Solar open and closed fluxes are not independent because they are both manifestations of the solar magnetic activity, but their long-term variations are not identical. In the present study we try to separate the influence of the variations of solar open and closed flux on atmospheric circulation at different levels in the atmosphere, both on long-term and short-term scales.