201808.22 0 When does a Storm receive a name? in Public Adjusters The Atlantic hurricane season starts June 1 and ends November 30 When does a storm receive a name? Tropical storms are given names when they display a rotating circulation pattern and wind speeds of 39 miles per hour. A tropical storm develops into a hurricane when wind speeds reach 74 mph (119 kph). Hurricanes’ names are selected by the World Meteorological Organization. There are six lists of hurricane names for Atlantic Ocean storms. Every six years, the list of names starts again! Historic Storms are usually taken out of rotation because of the severity of the damage.