His maternal first cousins included the famous generals Prince Eugene of Savoy and Louis Joseph de Bourbon.

He bought the site in 1718 from Armand-Claude Mollet who possessed a property fronting on the road to the village of Roule, west of Paris.

In 1721, his father died and Louis Henri's older brother Emmanuel Théodose succeeded as ruler of the Duchy of Bouillon, which had been in the family since 1594.

At Louis Henri's death in Paris, the county of Évreux reverted to the House of La Tour d'Auvergne as one of their subsidiary titles.

His youngest niece, Marie Charlotte, who was orphaned in 1737 was raised by Louis Henri and later married the Prince of Craon.