Tyler Clementi Higher Education Anti-Harassment Act of 2019 This bill addresses harassment at institutions of higher education (IHEs). Harassment includes certain conduct undertaken through technological means that limits a student's ability to benefit from the IHE's programs, or creates a hostile or abusive educational environment at the school. Specifically, the bill requires each IHE to include in its annual security report a statement of policy regarding harassment on the basis of a student's actual or perceived race, color, national origin, sex (including sexual orientation, gender identity, pregnancy, childbirth, a medical condition related to pregnancy or childbirth, and a sex stereotype), disability, or religion. In addition, the Department of Education may award grants to IHEs to initiate, expand, or improve programs to (1) prevent the harassment of students; (2) provide counseling or redress services to students who have been harassed or accused of subjecting other students to harassment; or (3) educate and train students, faculty, or staff to prevent harassment or address harassment if it occurs.