The Christian hope constitutes something essential to the Christian faith, because it is one of the three theologicals virtues, beside faith and charity. These virtues are called theologicals because the human being doesn t acquire them by its own effort, but as answer to a external strength, that is called grace, capable of awaking the search for meaning, a reason for the its own existence. This action conducts the human being to a further meaning of life, the éschaton. Our research about Christian hope shows what hope is. This basic founding is necessary to the objective proposed, in this case: to found and reflect Christian hope in Jürgen Moltmann s theology. He is one of the most important Christian thinker in nowadays. In his work, he brings a new focus to eschatology, bringing up the realization of eschatological hope through justice, humanization of the human being, socialization of humanity and peace to all creation. Therefore, for him, to speak of hope is to speak of a positive strength that makes us walk towards an horizon. It s an expectative that wishes something supreme, untouchable, infinite. Only the hope, in this case, the Christian hope, make us experience, now in the present, a kairós vivifying and advertiser of a not yet future.