In my article I analyze a few dimensions of subjectivity in the philosophy of Jacques Derrida. On the one hand, the question of proper name shows that subjectivity cannot be taken as completely identical with itself. According to Derrida, it was a good reason to disclose the metaphysical presuppositions of classical anthropology, in particular its claims concerning substantial subjectivity. It is a negative part of his approach. But on the other hand, Derrida tried to create a new philosophy of subjectivity which treats subject in the necessary ontological and ethical connection with other subject. Due to his positive contribution, his approach deserves the name of relational philosophy of subjectivity.