Community College to Career Fund Act This bill amends the Workforce Innovation and Opportunity Act to direct the Department of Labor to award competitive grants to eligible community colleges, four-year public institutions of higher education, tribal colleges or universities, public or private nonprofit two-year institutions of higher education in specified U.S. territories, or a consortium of any of them, in partnership with employers or an employer or industry partnership representing multiple employers, in order to develop, offer, improve, and provide educational or career training programs for workers. The governor of the state in which at least one of these entities is located shall establish criteria for an educational or career training program leading to a recognized postsecondary credential for which an eligible entity submits a grant proposal.