He set off from île de Ré for Guadeloupe (then occupied by the British) with the rank of lieutenant-colonel, beside Victor Hugues, on 21 April 1794. He was landed at Pointe des Salines and captured fort Fleur d'épée and the town of Pointe-à-Pitre, strongly defended by the British. He was made chef de brigade on 18 June 1794 and then général de brigade and supreme commander of all land forces on Guadeloupe on 14 December 1795. On 28 December 1794, at Pointe-à-Pitre, he married Marie Joseph Elisabeth Augustine Darboussier. He completed the conquest of the island by a long series of brilliant feats of arms and the French Directory (via Victor Hugues and Lebas) raised him to the rank of général de division. Boudet headed some dragoons to punish the rebellion of Le Lamentin in December 1797 and then, after two years and having made the island defensible, he returned to France in April 1799 to take part in the Dutch campaign, under the command of general Brune. After 18 brumaire, he joined the armée de réserve, commanded by Berthier and being readied for Italy. He led the vanguard in the second Italian campaign of Napoléon Bonaparte and gained distinction at the head of his division, especially at Lodi and Marengo, being wounded at the latter.