The son of a notary, intendant to the prince de Rache, avocat to the parliament of 1789, companion and collaborator of Saint-Just, Le Bas was elected député to the National Convention for the Pas-de-Calais in 1792, sitting among the Montagnards.
A discreet, cold, and loyal representative, he voted for King Louis XVI's death and against the sentence at his trial (i.e., against the people's appeal).
A member of the Committee of General Security, he was among those close to Robespierre, Couthon, and Saint-Just, who had a brief and discreet relation with his sister Henriette.
Saint-Just and Le Bas were also later sent to reorganize the armée du Nord by the Committee of Public Safety in the face of an attempted return by Austrian forces after Wattignies - it was this reorganisation that made possible the victory at Fleurus.
He married Elisabeth Duplay, daughter of Maurice Duplay, Robespierre's landlord in Paris, and their son was Philippe Le Bas (1794–1860), who would be Louis-Napoléon Bonaparte's preceptor until 1827 then director of the library of the Sorbonne (from 1844 to 1860), a member of the Académie des Inscriptions et Belles-Lettres (1838–60) and president of the Institut de France (from 1858).