Do the processes in near-earth space influence weather and climate?

The validity of the point of view about predominance of the influence of solar activity on the Earth's climate is shown. Complex and spatially inhomogeneous meteoparameters dynamic changes including temperature, correlate with Space weather parameters. A straight dependence of the surface temperature from Solar activity, as it was in epochs of Grand Minima of Solar activity, allows us to construct the temperature prediction in accordance with solar activity forecast for the XIX century. It leads to the conclusion about soon next temperature decrease period on a global scale, in contrast to the predictions global warming.