The plane belonged to Ben and Bonnie Krupinski of East Hampton, who were on board when the the Piper PA31Navajo aircraft went down, according to 27 East Hamptons News.
East Hampton Town Police identified the four victims in the crash as Krupinski, his wife Bonnie Bistrian Krupinski, and 22-year-old grandson William Maerov, all of East Hampton, as well as the pilot Jon Dollard, 47, of Hampton Bays.
The crash reportedly occurred during a storm that prevented the plane from staying in contact with an airport control tower.
The National Transportation Safety Board (NTSB) will investigate, along with local authorities, and the NTSB will determine the cause of the crash. The Federal Aviation Administration said the aircraft went down around 3:20 p.m. Saturday, approximately two miles off the shore near Indian Wells Beach in Amagansett.
Two bodies were recovered from the scene, WABC-TV reported.
Officials say land-based searches by law enforcement will continue until conditions improve and boats can be deployed again.
It marks the second small plane crash on Long Island this week.
Anyone with information has been encouraged to contact the Coast Guard Sector Long Island Sound command center at 203-468-4401 or on the radio at VHF-FM marine radio channel 16. The plane was en route to East Hampton Airport, when it appears to have flown directly into a thunderstorm.
The United States Coast Guard, the East Hampton Town police dive team, and the East Hampton Ocean Rescue Squad all were responding.
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