Yale President Peter Salovey said the gift, from Charles B. Johnson, a 1954 graduate of the exclusive Ivy League school, is the most recent in a string of gifts that have established the Johnson Center for the Study of American Diplomacy and the school's athletics program, among others.
When built the structures will allow for 15 percent more incoming freshmen.
This year's Yale freshmen class numbered 1,360 -- a fraction of the more than 29,000 applicants.
The fund to build the two new dormitories is now about $80 million shy of its goal. The structures will be built exclusively through alumni donations, Salovey said.