Hydrogen for Industry Act of 2023 This bill requires the Department of Energy (DOE) to establish programs that provide grants or cooperative agreements to support the use of hydrogen in energy. Specifically, DOE must establish a program for projects that demonstrate the uses of hydrogen in heavy industry (e.g., steel, cement, glass, and chemical manufacturing). DOE must also establish a program for (1) carrying out projects that demonstrate the end uses of hydrogen; (2) constructing a new commercial-scale facility that will use hydrogen as a fuel or feedstock; or (3) retooling, retrofitting, or expanding an existing facility to enable the use of hydrogen as a fuel or feedstock in industrial end-use applications of hydrogen.