Longman Dictionary of Contemporary English
Wiktionary
n. the highest chief executive officer within a governmental, statutory, NGO, third sector or non-profit institution. In reference to government, the executive officer below the minister of the department.
Wikipedia
Director-general (plural directors-general), or general director, is a title given to the highest executive officer within a governmental, statutory, NGO, third sector or not-for-profit institution. It is commonly used in many countries worldwide, but often with different meanings. Although in most countries it has a business or civil service connotation, in the United States the term "general director" typically refers to the administrative head of an opera house.
Usage examples of "director-general".
And Jacques Necker, the Genevan Director-General of Finance, determined to finance the American war overwhelmingly by loans rather than taxes.
Director-General of the Giza Pyramids, fell upon them, suddenly and unexpectedly, like the proverbial ton of bricks.
CIM Secretary Irwin Schroder and ISA Director-General John Belford exchanged heavy glances while Krantz and Linsay remained silent and expressionless.
President Vaughan Nash and ISA Director-General John Belford were waiting with nervous, unsmiling faces.