Adams was the author of the following works.
- Early Rules for Taking a Likeness. with plates. 8vo. London, 1792; translated from Bonamici.
- Oratio Academica Anglice et Latine. London, 1793.
- Euphonologia Linguae Anglicanae, Latine et Gallice. 8vo. London, 1794; for which he received the thanks of the Royal Society.
- Rule Britannia, or the Flattery of Free Subjects Expounded; to which is added an Academical Discourse. London, 1798.
- A Sermon preached at the Catholic Chapel of St. Patrick, Sutton-street, on Wednesday, March 7, the Day of Public Fast. London, 1798.
- The Pronunciation of the English Language Vindicated. Edinburgh 1799.