Antony Fowler and Joe Joyce both made the British team after winning Commonwealth Games gold last summer - at 75kg and +91kg, respectively.
"It is a great achievement to be selected to be part of Team GB and I am really looking forward to competing at the European Games", Joyce told reporters after the BOA announcement.
Also named to the team were Qais Ashfaq and Sam Maxwell, who collected 56kg silver and 64kg bronze, respectively, at the 2014 Commonwealth Games.
The British boxing group will also include the 19-year-old Muhammad Ali, who captured bronze at the 2014 Youth Olympic Games.
The full Great Britain men's boxing team for Baku 2015: Harvey Horn, Muhammad Ali, Qais Ashfaq, Luke McCormack, Sam Maxwell, Josh Kelly, Antony Fowler, Joshua Buatsi, Joe Joyce
In addition, Seonaid McIntosh was included as the 13th member of the British shooting team.