Yeah, Howard University does provide scholarships based on merit. Here are some of them:

HU Presidential Scholarship
Minimum Criteria: based on student’s SAT/ACT score
Separate application needed: No

HU Founders Scholarship
Minimum Criteria: based on student’s SAT/ACT score
Separate application needed: No

HU Capstone Scholarship
Minimum Criteria: based on student’s SAT/ACT score
Separate application needed: No

Howard University provides aids at an average of 14968 per student meeting 62% of students need. 97% of students with need receive financial aid at an average of 27095 need-based grant. They also provide other scholarships including HU Need Founders Scholarship and HU Need Capstone Scholarship.