From the Vice President for International Affairs:
The competition for the 2019-20 Core Fulbright U.S. Scholar Program is now open. The Core Fulbright U.S. Scholar Program sends more than 500 American scholars and professionals annually to more than 125 countries, where they lecture and/or conduct research in a wide variety of academic and professional fields. Visit the CIES website for application details.
Keep in mind that grant lengths vary and are specified in the award description; grant benefits vary but generally include travel and living expenses for the awardee and accompanying dependents; the competition is open to all U.S. citizens; the application deadline is August 1, 2018; and the Catalog of Awards is available here.