"Tonnant" fought in the battles of Genoa on 14 March 1795 and The Nile on 1 August 1798 under Aristide Aubert Du Petit Thouars. During the battle, she severely damaged , causing nearly two hundred casualties, including 50 killed and 143 wounded. Among the dead was "Majestic"s captain, George Blagdon Westcott. Du Petit-Thouars, who had both legs and an arm shot off, commanded his ship until he died. "Tonnant" was the only French ship still engaged in the morning, with her colours flying, though aground. It was not until 3 August that she finally struck her colours.