The APA Style Blog -- the official blog of the APA Style Guide -- has guidelines for citing the DSM-5 in APA 6th edition.
Here's what a citation looks like:
American Psychiatric Association. (2013). Diagnostic and
statistical manual of mental disorders (5th ed.). Washington, DC:
Author.
Text citation: (American Psychiatric Association, 2013)
Individual chapters and other parts of DSM-5 have been assigned DOIs. If you used the online edition of the DSM, give the DOI in the publisher position:
American Psychiatric Association. (2013). Cautionary statement for
forensic use of DSM-5. In Diagnostic and statistical manual of
mental disorders (5th ed.). doi:10.1176/appi.books
.9780890425596.744053
Text citation: (American Psychiatric Association, 2013)