[1] Enrico was the son of Baron it:Giuseppe Di Bronchetti, Minister of War of the Kingdom of the Two Sicilies and his wife Elisabetta Baccuet.

On 3 September 1827 he was admitted to the Naval Academy of Naples from which he graduated on 9 August 1834 with the rank of ensign in the royal navy of the Kingdom of the Two Sicilies.

[3][4] In April 1859 king Ferdinand invited him to join the War and Navy Council of the Two Sicilies (13 April-24 May 1859, and 16 June-20 July 1859) and in September of the same year he assumed the position of sub-inspector for armaments.

[4] In the meantime Giuseppe Garibaldi had reached Naples, and Di Bronchetti joined a considerable number of other Neapolitan officers in entering his service.

[3][8][4] For his conduct in command of the permanent squad and in the Cartagena affair, he was appointed senator on 15 November 1874 and made honorary aide-de-camp to the king in 1876.

The king favoured Di Brocchetti over the leading candidates Benedetto Brin or rear admiral it:Federico Martini, as he did not want radicals in the key ministries of government.

He remained at the ministry only from 24 March-24 October 1878, so he had little chance to make his mark, but he did send Benedetto Brin and Felice Mattei on a mission to investigate the state of the fleets in France and Great Britain.