Local authorities say the plane crashed as the pilot tried to make a night landing at a small airstrip.
Police say the pilot was trying to land with the light of headlamps from two trucks driven up to the runway.
The plane's wing hit one truck and it spewed fuel as it spun into the second, which exploded, killing three people inside. The pilot survived
The victims were identified as Edith Collie, 81, her daughter, Enamae Collie, who was in her 30s, and her husband, Canadian citizen Tim Polowick, originally from Saskatchewan. All the victims were residents of Mayaguana island.
Sidney Collie, the elderly woman's son, said they were trying to make the night landing because one of his uncles needed to be airlifted to the capital of Nassau for medical reasons.
Local night flying is banned on the smaller islands of the Bahamas, including Mayaguana, because airports do not have runway lights.
With files from The Canadian Press
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