The extant manuscript tradition of the Kitāb al-Kašf provides evidences of three phases of redaction and revision of the treatise. This study aims to illustrate the relations between the two Arabic versions and the anonymous fourteenth century Hebrew translation, taking into account the additions and modifications that differentiate them. I conclude that the Hebrew translation represents an intermediate stage of reworking, attesting important additions to the text as well as philosophical changes, especially in arguments concerning the creation of the world at the beginning of the treatise. However, it precedes the next revision phase of the text, which leaded to the modifications of the last Arabic version, in the chapters dealing with the thorny questions of divine corporeality and direction. The analysis of additions and arguments in the matter of content, context and reasoning helps to understand the redaction phases' history and the way the treatise was transmitted.