Аннотация:Global magnetic field of the Earth, existing due to internal dynamo mechanism, is continuously changing at different time scales since its formation. Paleodata indicate that relatively long periods of evolutionary changes, having an average duration about few hundred thousand years, can be replaced by quick (with duration about 10 thousand years) overturns of Earth’s magnetic dipole and corresponding inversions of the magnetic field on the planet. According to the observations, the modern Earth's magnetic field is weakening and the magnetic poles are shifted, which may indicate the beginning of the inversion process. In this paper the approximation of the earth's magnetic field over the past 100 years is done using the Gaussian coefficients. Using extrapolation method it is shown that the magnetic dipole component will go to zero till 3600 year, at this time the geomagnetic field will be determined by the lower quadrupole magnetic component. Numerical model is developed that allows evaluating and comparing the fluxes of galactic cosmic rays (GCR) in the Earth’s magnetosphere and on its surface during the periods of the absence of the dipole field. The role of atmosphere in absorption of high-energy particles of GCR is taken into account. Radiation security to humans on the Earth and at altitude ~400 km corresponding to international space station orbit is estimated. It is shown that in the most unfavorable for humanity period of inversion, when the Earth's magnetic field is minimal, the GCR flux may increase no more than three times, therefore the radiation danger should not exceed the maximum permissible dose. Thus, the danger of the magnetic inversion periods for people and nature in general should not lead to a fatal outcome, despite the fact that during inversion period the structure of the magnetosphere should change dramatically.