His parents were Blanca Usher Conde and Alberto Héber Uriarte (grand-nephew of Juan D. Jackson).

His brother, Mario Héber (d.1980), was a prominent public representative and opposition leader during the civilian-military administration of 1973–1985.

His nephew Luis Alberto Héber has been a prominent National Party Deputy and Senator.

In 1958 Héber was elected a member of the National Council of Government, which he presided from 1966 to 1967.

[1] In the event, however, his successor Óscar Diego Gestido served for only a few months.