The agency said the four were found dead today in the Dinniyeh region. NNA gave no further details.
Later in the day, Syria's state SANA news agency said that midterm exams at Damascus University have been postponed because of the storm, saying some students will not be able to reach their colleges.
The university's director Mohammad Hassan al-Kurdi said a new date for the exams will be set later.
Classes at Syria's schools and universities stopped as of Wednesday because of the storm.
The latest deaths raise to seven the number of people killed by the weather in Lebanon since Tuesday, including three Syrians.
Activists say several people died in Syria as well because of the storm.