His older brother, François de Lorraine, Batard d'Harcourt, was illegitimate, having been born before his parents were married.
As such, at his father's death in 1694, Alphonshe became the Count of Harcourt having been styled as the Prince d'Harcourt.
At the age of eighteen, he married Marie Françoise de Brancas on 21 February 1667 in Paris.
[1] Françoise was the eldest of two daughters born to Count Charles de Brancas (1618-1681) and his wife, Susanne Garnier (1630-1685), widow of François de Brézé, Seigneur d’Isigny en Normandie.
Alphonse Henri died at the age of 70 during the Regency of Philippe d'Orléans (Regent for the minority of Louis XV).