Lambert was a student of the École polytechnique and graduated as a mining engineer. Around the year 1829, Lambert met "father" Barthélemy Prosper Enfantin, Michel Chevalier, and Fournel who were trying to propagate the doctrine of Saint-Simonism. The young engineer became one of their favorite disciples, and abandoned his position to participate in the new religion. Lambert took an active part in the teachings of rue Monsigny, collaborating with the newspaper Le Globe and during the split that occurred in the Saint-Simonian family, he chose to side with Enfantin. In 1832, Lambert was not included in the lawsuits against the Saint-Simonians. From his refuge at Ménilmontant, he appeared as trial counsel for one of the accused and produced an incisive and mocking speech which elicited a number of observations from the presiding judge. Sometime afterward, Lambert left for Egypt, and at first taught mathematics in Cairo but soon caught the attention of the Egyptian vice-roy, Muhammad Ali, who gave Lambert several missions:
Lambert created the Mining School which he directed from 1836 to 1840, and then the Bulaq École polytechnique that he directed from 1840 to 1849. Lamert made it the flagship of the educational system organized by Muhammad Ali. Through the network of professors he built up from Egyptians sent to Paris, he was able to train excellent engineers who were considered "civilized" in the term of the day - that is to say, believing in the efficiency of technical progress as a factor of economic development and social progress. A member of the Higher Council for Education, Lambert participated in the development of all reforms of the school system in close liaison with Minister Ethem Bey. Lambert also provided technical expertise for many projects. The record he created in 1849 of the work he conducted and to which he lent assistance during the reign of Muhammad Ali is eloquent: the Nile Barrage, railroads, irrigation, mines, topography and maps, public works, school programs and inspections, an observatory, gunpowder and saltpeter, paper factories, roads, bridges, causeways, and waster distribution in Cairo.
In 1851, Lambert settled in Paris and devoted his leisure to questions of philosophy: he published a very curious study about the Trinity which was a great success when it appeared in La Revue philosophique et religieuse. Lamber died in 1864 and was interned at the Montparnasse Cemetery.
