Satrapi is writing a graphic memoir (a narrative recounted from memory). She's the artist and the author of the tale, balancing the words and images to present a visually-driven tale of her childhood. Satrapi focuses on much imagery, as each chapter is usually titled after an object (e.g. "The Veil," "The Bicycle").
The genre might also be considered a bildungsroman, or a coming-of-age tale, in which the young Satrapi struggles with femininity, politics, religion, and the regime changes that plague her country. The subtitle, after all, is the "The Story of a Childhood," though her intended audiences are all ages (teens and adults).
Her style is also full of comedy, stemming from verbal and visual irony. Nearly all of her characters are grim-faced: they never smile. This sardonic form of humor is contrasted with the carefree and rebellious young Satrapi. Her conversations with God and Karl Marx (whose beards are identical) helps alleviate the seriousness of the theocracy and war.