This chapter deals with the history of economic thought regarding the revenue from the supply of currency, its justification, or, in more modern welfare-theoretical terms, its optimal level. It is confined mostly to continental European writers of the last three centuries. It is shown that different forms of organization of the currency supply constitute different instruments to generate seigniorage. Three regimes are distinguished: In a commodity currency, mints charge a tax on deliveries of the currency-commodity, e.g., gold. In a fiat currency, seigniorage is collected by issuing currency to finance government spending. In a credit currency, seigniorage is realized as interest payments to the government or its authorities. Regarding optimal seigniorage two approaches are distinguished. One determines seigniorage as optimal if it covers the cost (of production and maintenance) of the currency, the second builts upon the former but adds a broader utility based framework.