It is still unclear exactly how strong the snowfall will be in Jerusalem.
Further rainfall and snowfall is expected on Tuesday and Wednesday.
On Sunday night, about two centimeters of snow fell on Mount Hermon.
Due to the high levels of rain the past several years, in addition to this winter's rain, the Kinneret water level is 3.055 meters above the lower red line level.
The lake is now 1.11 meters below the upper red line threshold, which marks 208.8 meters below sea level.
The opening of the dam will likely take place around April 2021 if the water level rises high enough.
The upper red line threshold marks 208.8 meters below sea level.
The last time two years were recorded with rainfall at this high of a level above average was from 1986-1988.
In February, the Water Authority announced that it would open the dam in late March if the Kinneret reached 20 centimeters below the upper red line.
After an abundant rain hit Israel over the last weekend, the Water Authority announced that the level of its waters reached its full capacity, marking a record since 2004.