There is no as such official ranking of Universities. There has been much debate since the late 1990s about both the usefulness and political correctness of college rankings in the United States. Still, A 2010 University of Michigan study has confirmed that the rankings in the United States have significantly affected colleges' applications and admissions.
Apart from QS world university ranking, following rankings are referred.
U.S. News & World Report College and University rankings
United States National Research Council Rankings
Faculty Scholarly Productivity rankings
The Top American Research Universities
Washington Monthly College rankings
Forbes College rankings
Other organizations which compile general US annual college and university rankings include the Fiske Guide to Colleges, Princeton Review, and College Prowlr. Many specialized rankings are available in guidebooks for undergraduate and graduate students, dealing with individual student interests, fields of study, and other concerns such as geographical location, financial aid, and affordability.