The hairstyle was known as Sun Sweep. Leia Organa, the Princess, famously sported this particular hairdo.
The name "Sun Sweep" originated from the instructions and packaging of the large Leia action figure produced by Kenner. This toy included hair styling tools, such as a comb and brush, inviting kids to experiment with different looks. Also noted are four other styles: Star Puffs (her iconic look from Star Wars: Episode IV A New Hope), Star Burst, Star Swirl, and Lunar Loops.