At the age of fifteen, he was assigned a sergeant in the Butyrka Infantry Regiment, in which he stormed the Turkish fortress of Ochakov; on August 17, 1739, in the Battle of Stavuchany, in the rank of lieutenant, he commanded a small detachment, showing outstanding courage and ingenuity.

Unlike Prince Yakov Shakhovsky, Alexander Glebov performed his duties not so zealously, which especially affected the supply of the army during the war with Prussia.

Being an experienced courtier, cunning and resourceful (contemporaries called him "a man with a head"), Prosecutor General Alexander Glebov very subtly assessed the situation during the 1762 Palace Coup and, despite his attachment to Peter III, immediately supported Catherine II.

[2] He possessed exceptional abilities and hard work, so Catherine II, although she knew about his bad inclinations and greed, continued to keep him at the highest prosecutor's post.

However, soon his position at court was noticeably shaken, which was largely facilitated by dubious commercial transactions, especially those related to the wine lease in Irkutsk, into which he became involved when he was the Chief Prosecutor.

On the instructions of Catherine II, a special Investigative Commission was formed, and in June 1776 Glebov was summoned from the governorship to the capital, and then he was removed from all posts "even on matters concerning him, the decision will follow".