The Command of National Security Forces announced Wednesday evening a state of emergency, the Palestinian news and information agency WAFA reported.
Civil defense forces were searching for a man from the Tulkarm area village of Attil who had been seen leaving his stranded car on Tuesday, WAFA said.
The rains damaged dozens of homes and property throughout the West Bank.
More than 530 people were rescued in Salfit province, WAFA said.
The Palestine Weather Service attributed the cold to a polar air mass accompanied by thunderstorms and hail that hit the area.
At a Syrian refugee camp in Amman, Jordan, temperatures plunged early Wednesday to 4 degrees Celsius (39 degrees Fahrenheit) with fierce winds.
Torrential rain and increasing snowfall paralyzed much of the country, and most government and public offices in Jordan closed Wednesday and were to remain closed Thursday, the state-run Petra news agency said.
In the next three days, temperatures in Amman will drop below freezing, Petra said, citing the Jordan Meteorological Department.
Amman has received 101 millimeters (4 inches) of rain over the past three days, whereas the January average for the entire month is only 63 millimeters (about 2 1/2 inches), Miller said. The city gets snow about once a year, on average.
On Tuesday and Wednesday, the kingdom saw 757 traffic collisions, Petra reported, citing the directorate of general security.
Heavy snow paralyzed Istanbul, the semi-official Turkish news Anadolu Agency reported. Turkish Airlines canceled 39 flights into and out of Istanbul.
The state-run National News Agency reported Wednesday that the Civil Defense was retrieving 25 Bedouin families whose tents were flooded.
Heavy flooding on Wednesday cut the coastal highway of Nahr el Kaleb.
But the Civil Aviation Directorate predicted the storm would subside by Thursday morning.
Elsewhere in the country, the army evacuated residents trapped by torrential snowfall, according to news agency.
'Miserable' conditions for Syrian refugee children
The weather is not easing life for those who have fled Syria, the United Nations children's agency said.