Emerging for the first time in the 5th cent. B.C., horoscopes reflect the application of the idea and practice of celestial divination to the life of the individual. Whereas an omen focuses on a single astronomical phenomenon, the horoscope takes into account the positions of the moon, sun, and five planets at the moment of a birth. As such, Babylonian horoscopes presuppose the concept of the ecliptic and a methodology for obtaining the positions of heavenly bodies when they are not observable. This is the first complete edition of the extant cuneiform horoscopes -- with transcription and philological and astronomical commentary. This study offers a systematic description of the documents as a definable class of Babylonian astronomical/astrological texts.