Johan Storm Munch (31 August 1778 – 26 January 1832) was a bishop in the Church of Norway.

He was the son of parish priest Peter Munch (1740–1802) and Christine Sophie Storm (1746–1825).

From 1800–1805, he was a private tutor for members of the Løvenskiold noble family at Løvenborg in Zealand in Denmark.

In 1810, he took a year-long teaching position at Prinds Christian Augusts Minde, a hospital and asylum in Christiania.

In 1817 he received the call to work as vicar of the parish of Aker as well as the palace priest for Akershus Fortress.