The ASME website offers templates to authors for formatting submissions. Papers are submitted as PDF's only. The reference list in ASME style primarily uses The Chicago Manual of Style format.
"Confirm that all relevant research references have been included. Provide complete information for all
references, including all author names, title, volume, page numbers, publisher, location and year. Authors are
encouraged to seek out precise instructions via: ChicagoManualofStyle.org"
Note that ASME has its' own abbreviation system for journals it publishes. If you are citing an ASME journal do not type out the entire title.
The ASME citation style mostly follows the Chicago Manual of Style. In Chicago style, the author-date system is more common in the sciences and social sciences. In this system, sources are briefly cited in the text, usually in parentheses, by author’s last name and year of publication. Each in-text citation matches up with an entry in a reference list, where full bibliographic information is provided.
The info below comes from the ASME general overview of their citation style:
The most notable difference between Chicago style and ASME is the position of the date. In ASME the date follows the author's names.