ANUBIH members are chosen from among the most prominent persons actively engaged in different fields  of science and art. They are elected by the ANUBiH Assembly in compliance with the provisions of the Law and Bylaw , pursuant to proposals submitted by those authorized to do so by the Bylaw: departments and scientific units of ANUBiH, two ANUBiH members, and the scientific and artistic institutions of B&H (universities, faculties, higher education establishments, scientific research institutions, academies of art, and relevant associations of creative artists in the field of literature and art).

The active complement of the Academy consists of full members (Academicians) and correspondent members of ANUBiH.

The active complement of the Academy consists of full members (Academicians) and correspondent members of ANUBiH.
In addition, pursuant to current regulations, the Academy has domestic and foreign members and honorary members.

Domestic members are citizens of Bosnia and Herzegovina living outside BiH, while foreign members are foreign citizens.

The Academy's Electoral Assembly elects full and correspondent members by secret ballot, and domestic and foreign members by acclamation.

Upon a motion by the Presidency of ANUBiH, pursuant to a prior submission by a Department, honorary members are elected by acclamation.

The current active complement of the Academy consists of 45 members: 34 full members and 11 correspondent members of ANUBiH.