The average SAT score composite at Harvard is a 2260. This score makes Harvard Extremely Competitive for SAT test scores. The 25th percentile SAT score is 2120, and the 75th percentile SAT score is 2400.In other words, a 2120 places you below average, while a 2400 will move you up to above average.he acceptance rate at Harvard is 6% . For every 100 applicants, only 6 are admitted. This means the school is extremely selective. Meeting their GPA requirements and SAT/ACT requirements is very important to getting past their first round of filters and proving your academic preparation.