The Coast Guard said Sunday afternoon that it suspended its search for the plane wreckage and the two remaining occupants due to rapidly deteriorating sea conditions.
The television station reports that the pilot was 47-year-old Jon Dollard and the passengers were 22-year-old William Maerov, 70-year-old Bernard Krupinski, and 70-year-old Bonnie Krupinski, though it has not been disclosed which passengers were confirmed dead and which were missing.
Ben Krupinski was reportedly known as the "builder to the stars" who had built homes for celebrities like Martha Stewart and Billy Joel.
The National Transportation Safety Board (NTSB) will investigate, along with local authorities, and the NTSB will determine the cause of the crash.
Investigators are still examining what led to the crash, but a bad storm was in the area at the time of the incident, according to the New York Post.
The FAA says the plane went down shortly before 3 p.m.
His wife Bonnie's family owns Bistrian Sand and Gravel, where Krupinski worked before starting his own construction business.
East Hampton Town Police Chief Michael Sarlo said that while the Coast Guard continues the search with its larger vessels throughout the night, a "full-scale operation will resume at daybreak".
A twin engine piper navajo lost contact with air traffic control at East Hampton Town Airport.
After hours of searching, two bodies were pulled from the water Saturday.
The plane had been expected to land at East Hampton Airport before it crashed.
Sector Long Island Sound issued an Urgent Marine Information Broadcast notice to mariners, requesting boats in the area to keep a sharp lookout for the crashed plane and any survivors.
Seat cushions and personal items were found in the debris field but the plane sunk.