He graduated from the Department of theoretical and applied linguistics of the Philological Faculty of the Moscow State University in 1984 (his academic supervisor was Sandro Kodzasov).

During his studies at the university, he took part in several linguistic expeditions organized by the Department, in particular to Dagestan, Tuva, Svaneti, Abkhazia .

In 1988, Kibrik obtained his Candidate Degree at the Institute of Linguistics of the Academy of Sciences of the Soviet Union (his supervisor was Viktoria Yartseva).

He is one of the principal researchers of the Night Dream Stories project, in which the corpus of stories produced by healthy children was compared to those told by children with neurotic disorders, the results serving the basis for the methodology of psycholinguistic diagnostics.

[2][3] Kibrik has acted as a supervisor of numerous master and doctoral dissertations on the Russian sign language.