<p>As evident from previous studies, the reduction in ionization of the E layer during total solar eclipse influences the geomagnetic field effects. We have investigated eclipse-induced variations in the complex behaviour of the magnetosphere, by studying 8 total solar eclipse events from 1997 to 2019. The effect of modulations in the geomagnetic field due to solar eclipse is reflected in the complex behaviour of magnetosphere, and these effects are studied using different dynamical complexity measures, namely: Tsallis entropy, Renyi entropy, Hurst exponent, Beta exponent, and Fractal dimension. The geomagnetic field component data recorded by the magnetic observatories (MOs) located close to the place of occurrence of the greatest eclipse, are used to analyse the eclipse effect on the magnetospheric complexity. Analysis of both the daily average and eclipse hour average values of the horizontal component of geomagnetic field (H component) revealed that, the eclipse induced change on H component was relatively small. Out of the 12 magnetic observatories (MOs) that we used for this study, data from 11 MOs have shown a minimal increase in the daily average value of the H component in different magnitudes. The average values of Tsallis and Renyi entropies showed an increase during the eclipse period, indicating an increase in the magnetospheric complexity close to the totality path of eclipse; but these changes are not abnormal. The variations in the Hurst exponent, Beta exponent, and Fractal dimension values during the eclipse period can be interpreted as the system’s departure from its stable state during the eclipse period.</p>