According to police, Fleming's wife said she heard a loud noise near the door, followed by her husband's yell.
Fleming was taken to Southside Hospital, Bay Shore, and was pronounced dead Tuesday.
The incident, considered accidental, "happened at the height of the storm," said Lt. Jack Fitzpatrick, commanding officer of the homicide squad.
There have been five other deaths related to Sandy, including two men hit by falling trees and two people involved in car accidents at intersections without working traffic lights. In addition, a body was found in the surf in East Hampton.