The American Sociological Association website states "the ASA Style Guide is the authoritative reference for writing, submitting, editing and copyediting manuscripts for ASA journals and other publications following ASA's unique format. ... The 5th edition has been updated based on the 16th edition of the Chicago Manual of Style, on which much of the ASA style is based."
is a free, online site that gives a comprehensive description and examples of ASA citation style based on the fifth edition (2014) .
We have a print copy of the fifth edition (2014) of American Sociological Association Style Guide in the Reference collection on the main floor of the Library: Reference