Science assumes its contemporary identity as a result of the stages of magic, religion and reason. The religious stage starts with the invention of writing and this stage leaves its place to reason with Thales in Ancient Greece. Knowledge eludes from religious beliefs. Ways to reach accurate, reliable and realistic knowledge are sought, along with the answer for what knowledge is. Therefore, beginning of the science is taken into consideration together with science and philosophy. The purpose of this study is to approach knowledge and science of the ancient age in Mesopotamia, Egypt and Ancient Greece in general terms and to determine the relationship between the knowledge produced in those places and libraries established. The hypothesis has been determined as “Egypt and Mesopotamia at the starting point of the history of science and science, and libraries in Ancient Greece have developed parallelly to each other.” The scope of the study has been limited to Mesopotamia, Egypt and Ancient Greece; and Ancient Greece has been explained, with descriptive method, in the frame of the topics of Ionia, Athens, Hellenistic Period and Rome. Many archives and libraries have been established in the ancient age. The difference between an archive and a library has been mentioned first, and then, various libraries have been introduced such as Nineveh in Mesopotamia, Alexandria in Ancient Greece and many others in Egypt. It has been clearly distinguished that there had been a very tight relationship between knowledge production and library, especially with the Library of Alexandria.