A Latin translation for "family is eternal" is familia aeternum. "Family is eternal" is an ancient Latin sentiment that was a common phrase in Roman times.
Liber Familia
Vis.
Amor.
Vos amo.
Hic est amor.
Pugnatores amoris.
Amo vitam.
Semper amor.
Amor et cupiditas.
Amare monstrum.
Amor est caecus.