A captain in Cuba, in 1898 and 1899, he accompanied the Taft Commission to the Philippine Islands in 1899 and served as an assistant secretary.

He returned to the United States in 1900 and graduated the next year from the Tulane University Law School in New Orleans.

Broussard ran unsuccessfully in 1916 for lieutenant governor on an intra-party Progressive ticket with gubernatorial candidate John M. Parker, another Roosevelt loyalist.

Broussard opposed Prohibition and introduced legislation that sought to exclude beer and wine from the Eighteenth Amendment to the Constitution.

He supported the sugar tariff and federal flood control projects important to his state.

[1] After his defeat, Broussard resumed his law practice and tended to the bank and financial affairs in New Iberia, where he died in 1934 and is interred there at St. Peter's Cemetery.