Victor was born at Schaumburg Castle on 7 September 1693 as the eldest son of Lebrecht, Prince of Anhalt-Zeitz-Hoym by his first wife Princess Charlotte of Nassau-Dillenburg-Schaumburg, heiress of the County of Holzappel and Lordship of Schaumburg as a daughter of Elisabeth Charlotte, Countess of Holzappel in her marriage with Adolph, Prince of Nassau-Schaumburg.
The death of his mother in 1700 made Victor Amadeus Adolph the heir apparent of Holzappel and Schaumburg under the terms of a contract made between his paternal grandfather and namesake Prince Victor Amadeus of Anhalt-Bernburg and his maternal grandmother Countess Elisabeth Charlotte.
When his father died in 1727, Victor Amadeus Adolph succeeded him as "Prince of Anhalt-Zeitz-Hoym," but shortly after changed the name of his principality to "Anhalt-Bernburg-Schaumburg-Hoym."
In Birstein on 22 November 1714 Victor Amadeus Adolph married firstly with Countess Charlotte Louise of Isenburg-Büdingen-Birstein (b. Büdingen, 31 July 1680 - d. Schaumburg, 2 January 1739), daughter of Wilhelm Moritz, Count of Isenburg-Büdingen-Birstein (1657-1711) and his first wife, Countess Anna Amalie of Isenburg-Büdingen-Wächtersbach (1653-1700).
She was fourteen years older than he was; nevertheless, the union produced six children: In Pölzig on 14 February 1740 Victor Amadeus Adolph married for a second time to Countess Hedwig Sophie Henckel of Donnersmarck (b. Oderberg, 7 May 1717 - d. Diez, 21 February 1795), daughter of Count Wenzel Louis Henckel of Donnersmarck (1680-1734) and his wife, Countess Hedwig Charlotte of Solms-Baruth (1678-1734).