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During the French Revolution, Joseph was often absent on foreign travels in order to secure loans for his father. During the Terror of Robespierre, these foreign trips placed him under suspicion for counterrevolutionary activity. He did in fact support the royalist uprising in Vendée. This caused him to be declared a traitor in his absence, and resulted in the arrest of his wife, father, brother and sister-in-law in Paris. He lived in exile in Great Britain, and returned to France in 1795. When his brother became Prince of Monaco in 1814, but was unable to manage the affairs of state because of poor health, Joseph was appointed regent. He was replaced as regent of Monaco in 1815, as Honoré V, the son of Honoré IV, successfully claimed the right to the throne as its rightful successor.
Princess Marie Camille of Monaco (22 Apr 1784 – 8 May 1879); married René, Marquis de La Tour-du-Pin, and had issue.
Princess Athénais of Monaco (2 June 1786 – 11 September 1860); married Auguste Le Tellier de Souvré, Marquis de Louvois, and had no issue.
Princess Delphine of Monaco (born 22 July 1788); died at birth.
Prince Joseph remarried to Frances Doyle, widow of Major-General Wellbore Ellis Doyle (d.1798) and daughter of Edward Rainsford of Richmond, Co. Dublin. They had no children.