The eliminated exams could include tests for math, social studies and other subjects.
Since the Regents affects the curriculum, paring it down would change high school courses and lower graduation requirements for millions of students.
Regents exams determine whether graduates meet basic academic requirements.
Officials say the cuts could save the cash-strapped state more than $13 million.
Teachers and school administrators are highly critical of the proposal - to be discussed Monday by the state Board of Regents.