The article aims to demonstrate the possibility of writing the history of science from the later Wittgenstein viewpoint. To accomplish this purpose, it exposes the “theory of history” of Wittgensteinian inspiration, called “grammar of history”. Then it discusses the idea of a Wittgensteinian-inspired “theory of science”, here called “grammar of science”. Finally, based on the interconnections between the grammar of history and the grammar of science previously exposed, some guidelines for writing the history of science from a Wittgensteinian perspective are outlined.