Amberg exhibited at Charlottenborg Spring Exhibition (1863-1884), in Exposition Universelle (1878) in Paris, the Nordic Industrial, Agricultural and Art Exhibition (1888) in Copenhagen, and Copenhagen's City Hall exhibition (1901). Amberg won a competition to design Christiansborg Palace in 1887. Amberg's design was used in the replacement building in Højbro Plads after St Nicholas Church was destroyed in the fire of 1795.