Yes. Sugarcane or molasses, which are gluten free, are the raw ingredients behind all rum styles.
Acquired by Heaven Hill in 2011, Admiral Nelson is also vegan friendly. It does not contain any animal ingredients (such as milk, eggs, honey, etc) and no animal products are used in the processing/filtration of our products (such as isinglass, gelatin, etc).
Gluten is a general name for the proteins found in wheat (wheatberries, durum, emmer, semolina, spelt, farina, farro, graham, KAMUT® khorasan wheat and einkorn), rye, barley and triticale – a cross between wheat and rye.
There are many food items that may contain gluten, often in hidden or unexpected ways. Learn about sources of gluten at Celiac.org.
Curious about rum? See Robsrum.com's Rum 101 primer for information about rum.