In the last three decades, the influence of solar activity on earth seismicity is one of the most important subjects in the field of long-term prediction of earthquakes. In the present work, the autocorrelation and power spectra analysis were applied for the sequences of sunspots and earthquakes activity. The used data are the worldwide earthquakes of M greater than or equal to 5, and the sunspots number R-z, for the period 1903-1985. Both are available from the National Oceanic and Atmospheric Administration NOAA, Boulder, Colorado, U.S.A. Also, we restrict our attention to earthquakes in North Africa with two stations, one at Cairo (Egypt), and the other at Alger (Algeria) of M greater than or equal to 4 for the period (1900-1986). The results indicated the presence of the eleven year cycles of the sunspots into the time of the earthquakes of the North Africa. Also, from the worldwide and North Africa earthquakes data a periodicities ranged between 1.01 and 5.5 years are revealed, which may be linked to a solar activity cycle.