In 1921 he married his fellow analyst Grete L. Bibring, and in 1941 the pair emigrated to the US.
Bibring's early writings included studies of the instincts, and of the repetition compulsion. He also wrote a pair of articles on paranoia in schizophrenia, including a case study of a woman who believed herself to be persecuted by someone called "Behind", a figure onto whom she had projected aspects of her own rear.
Ernest Jones reported with approval Bibring's measured disagreement with Freud's concept of the death drive: "Instincts of life and death are not psychologically perceptible as such; they are biological instincts whoe existence is required by hypothesis alone...[&] ought only to be addressed in a theoretical context and not in discussion of a clinical or enmpirical nature".
While struggling with writer's block in the States, Bibring did publish a 1954 article on the role of abreaction in what he called "emotional reliving" - a theme later developed by Vamik Volkan in his re-grief therapy.