He was the son of Emmanuel Broutin (Somain 1826–1883 Donostia-San Sebastián), a fencing master, and Marie-Louise Pasquier, a dressmaker.
Achille Broutin (Metz 1860 – 1918 Donostia-San Sebastián), one of his brothers was a collector of weapons and also a fencing master.
He left France with his family at the end of 1863, following a duel between his father Emmanuel and a person close to the Emperor Napoleon III.
A pupil of his father (himself a pupil of the famous Jean-Louis Michel), Broutin succeeded in opening his own fencing school in Madrid and wrote a treaty of fencing El Arte de la Esgrima, with a preface written by the marqués de Altavilla, published in 1893.
He was fencing master of the Spanish Army's staff, of the Royal Academy of Fine Arts of San Fernando's circle, and a corresponding member of the Académie d'Armes de Paris.