Current book reviews can often be found in Academic Search Premier (or other any other article index) by searching for keywords from the book's title. Reviews usually have (Book Review) or (Review) listed as part of the citation information.
Book Reviews of Books Published Before 1983. Print versions of The Book Review Index and The Book Review Digest (our library has 1973 to present) are available in the Library's Reference Collection.
Check the volume for the year of the book's publication, as well as two or three years later. Sometimes books, especially scholarly ones, are not reviewed immediately after publication.
These indexes, electronic and print, provide citations referring you to reviews published in various magazines or journals.
Be sure to ask at the Reference Desk if you need help finding the reviews you need.