Hambro was a merchant and banker. In 1800, he joined his father"s bank and renamed it C. J. Hambro & Son. Under his leadership, the bank gave loans to the Danish government from 1821 to 1827.
Hambro became an advisor to Johan Sigismund von Møsting, who served as the Danish Minister of Finance.
He died in 1840 in London, where he had moved earlier that year.