In the 
Star Wars universe, the 
Skywalker family is the family started by 
Shmi Skywalker on 
Tatooine.  Shmi's son, 
Anakin Skywalker, was apparently born with the help of 
The Force. As a Jedi Knight, Anakin married 
Padme Amidala, who gave birth to twins, 
Luke and 
Leia. Luke was raised on Tattooine by his aunt and uncle while Leia was raised by Bail Organa on 
Alderaan.
In the Star Wars novels, Leia married Han Solo and had three children, Jacen, Jaina, and Anakin. Luke eventually married Mara Jade and had a son named Ben.
 
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