Meuron was born in Saint-Sulpice, Principality of Neuchâtel (now Canton of Neuchâtel, Switzerland).[1] He was the son of Elisabeth Dubois de Dunilac and Théodore de Meuron, a merchant and militia captain.[1] In 1781, he entered Dutch service as the recruiting officer for the Regiment de Meuron, a mercenary regiment founded by his brother, Charles-Daniel de Meuron.[1] Meuron succeeded his brother as colonel of the regiment in 1786.[1]
Meuron commanded the regiment in Ceylon, India, and the Mediterranean.[1] He received the rank of brigadier general in 1795, after the regiment entered British service.[1] He was appointed Military Governor of British Ceylon on 12 July 1797 and occupied this post until 12 October 1798. His successor was Robert Andrews, who served as Resident and Superintendent of British Ceylon.[2] Meuron was promoted to major general in 1798 and to lieutenant general in 1805.[1] He retired in 1812 and died in Neuchâtel on 30 March 1813.[1]