The article presents the modern discussion about the concept of person in God. It starts showing some alternative propositions for the concept of person, presenting the opinions of Karl Barth and Karl Rahner about this problem. The second part of the article presents the social model of the Trinity, the fact that the three persons in God can realize each other trough their reciprocal love. This part is centered on the thinking of J. Moltmann, who in one of his books build his theology of Trinity on the communion of persons. The third point presents the self awareness of the holy persons. This point begins with the thinking of B. Lonergan who spoke about the Father, the Son and the Holy Spirit like three subjects who have their own awareness, but also the awareness of the others who report on.