The stochastic bias was used to describe the correlation between the 11-year solar cycle compared to the El Niño Southern Oscillation (ENSO) time series and rainfall over the city of Manaus (Brazil), looking for a connection between these events. For this, the time series of Solar Spots and El Niño and La Niña events and rainfall over Manaus were studied by means of the time series tools for the investigated periods. This operational research work shows that from 1980 until the 2030 projection, there is a strong correlation of connection of these data to the observed phenomena.