A traditional analogy used in the Church makes reference to the Trinity, in which the Father, the Son and their Love, the Holy Spirit, form a Communion of Persons. The human analogy of this Triune love is imperfect, given the limitations to communion of our physical natures. However, the Church takes the bond of marriage, created by the vows with their total commitment to the other, as creating the marriage and thus the communion.
From this communion comes the fruit of that love, as the works of God outside of the Trinity (creation, redemption, sanctification and glorification) come from the over-flowing love of the Trinity, and tend to communion with the Trinity.
In Familiaris Consortio, the Pope writes,
The family, which is founded and given life by love, is a community of persons: of husband and wife, of parents and children, of relatives. Its first task is to live with fidelity the reality of communion in a constant effort to develop an authentic community of persons.
The inner principle of that task, its permanent power and its final goal is love: without love the family is not a community of persons and, in the same way, without love the family cannot live, grow and perfect itself as a community of persons.
The Church considers the Holy Family as the ultimate model for family life. Pope St. John Paul II writes,
For every believer, and especially for Christian families, the humble dwelling place in Nazareth is an authentic school of the Gospel. Here we admire, put into practice, the divine plan to make the family an intimate community of life and love; here we learn that every Christian family is called to be a small “domestic church” that must shine with the Gospel virtues. Recollection and prayer, mutual understanding and respect, personal discipline and community asceticism and a spirit of sacrifice, work and solidarity are typical features that make the family of Nazareth a model for every home.