A meteorologist told army radio the country was experiencing its heaviest snow since 1879, but also predicted the storm would end by nightfall.
An Israel Electric Corporation official told the broadcaster that some 29,000 households nationwide were without electricity, 13,000 of them in Jerusalem.
Police said 45 towns and villages in the north were cut off because of the snow, and a police Twitter feed said 200 motorists were rescued overnight.
Late yesterday, the Ayalon highway connecting commercial capital Tel Aviv to its satellite cities was closed for two hours because a river burst its banks.
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Most major roads within the city itself were clear today from snowdrifts, but the municipality still implored residents to stay home and not try to drive.
The military and volunteers were distributing blankets in the city and taking needy people to warmer buildings.
Two trains were set to leave Jerusalem for Tel Aviv and Haifa today at 1430 IST and 1730 IST, a rare event as public transport is normally shut down in Israel on the Jewish Sabbath.
And yesterday night, a 37-year-old resident of Rishon Letzion south of Tel Aviv fell to his death as he tried to repair a roof leak.