Count Münster studied at Göttingen University together with the three youngest sons of King George III.
One of his first tasks was to bring Prince Augustus Frederick, Duke of Sussex and his company home from Italy.
Later he was appointed minister for the affairs of Hanover in London (the German Chancery) in 1805 following Ernst Ludwig von Lenthe.
Hanover was occupied from 1803 by French forces and much of its army went abroad to serve as part of the King's German Legion.
Münster was married to Countess Wilhelmine Charlotte of Lippe-Alverdissen (1783–1858), daughter of Philip II, Count of Schaumburg-Lippe and sister of George William, Prince of Schaumburg-Lippe ; he was survived by his wife and son (later Prince) Georg Herbert Münster when he died in 1839.