Analysis of a Course of Lectures on the Principles of Natural Philosophy (Cambridge, 1784).
Treatise on the Rectilinear Motion and Rotation of Bodies (Cambridge, 1784), which gives some interesting experiments, by means of which mechanical truths can be ocularly exhibited and demonstrated, and describes the machine, since named after Atwood, for verifying experimentally the laws of simple acceleration of motion.
Review of the Statutes and Ordinances of Assize which have been established in England from the 4th year of John of England|King John, 1202, to the 37th of his present Majesty (London, 1801), a work of some historical research.
Dissertation on the Construction and Properties of Arches (London, 1801).
Chess games recorded by Atwood were published posthumously by George Walker in London in 1835, under the name Selection of Games at Chess, actually played by Philidor and his Contemporaries.