He came from a long line of architects, which included his father, Louis-Jules Delespine (1726-1796).
After learning all he could at home, he continued his studies with Antoine-François Peyre and Jean-Augustin Renard [fr].
Several of his students were winners of the Prix de Rome for architecture: Félix Callet (1819), Abel Blouet (1821), Marie-Antoine Delannoy [fr] (1828), and Pierre-Joseph Garrez [fr] (1830) He was a member of the Council for Civic Buildings and, in 1824, became a member of the Académie des Beaux-Arts.
In addition to his official work, he built hotels and inns on the Rue de Rivoli and the Marché des Blancs-Manteaux [fr].
He also worked on restorations at the Church of Saint-Roch and the Hôtel de Ville in Rouen.