Alongside his musical career, Titov was a major general in the Russian cavalry.
He was most popular for his comic operas such as Yam, or The Post Station (1805), The Winter Party, or The Sequel to Yam (1808) and The Wedding Eve Party, or Filakin's Wedding (1809), which form a trilogy.
Alexey Titov's brother Sergey was a famous violinist, violist and cellist.
On January 23, 1790 Titov married Yelizaveta Turchaninova (4 November 4, 1774 – March 25, 1827), the daughter of the business magnate Alexei Turchaninov.
With her sisters Natalya Koltovskaya and Nadezhda Ivelich, Yelizaveta was the co-heiress of her father's copper mines.