Alexander Štromas was a cousin of Irena Veisaitė, Holocaust survivor and later Lithuanian scholar of German literature.

Soon afterward Shtromas became a critic of the Soviet regime and was forced to emigrate.

There, he was appointed to a position in the Department of Peace Studies at the University of Bradford by Adam Curle.

Aleksandras Shtromas died on 12 June 1999 in the US, and was interred in Petrašiūnai Cemetery in Kaunas.

A book with tributes by fellow dissidents, academic colleagues and former students (mainly in English but also in Lithuanian and Russian) was published in 2008 in Lithuania, edited by Leonidas Donskis (XX a. žmogus: Aleksandro Štromo portretai).