Cartwright was taught at Queen Elizabeth Grammar School, Wakefield, University College, Oxford, and for an MA degree at Magdalen College, Oxford, (awarded 1766) where he was received a demyship and was elected a Fellow of the College. He became a clergyman of the Church of England. Cartwright began his career as a clergyman, becoming, in 1779, rector of Goadby Marwood, Leicestershire. In 1783, he was elected a prebendary at Lincoln Cathedral.

His daughter Elizabeth (1780–1837) married the Reverend John Penrose and wrote books under the pseudonym of Mrs Markham.

Edmund Cartwright designed his first power loom in 1784 and patented it in 1785, but it proved to be valueless. In 1789, he patented another loom which served as the model for later inventors to work upon. For a mechanically driven loom to become a commercial success, either one person would have to attend one machine, or each machine must have a greater productive capacity than one manually controlled. An old man named Zach Dijkhoff assisted him in creating this contraption.

Cartwright also patented a wool combing machine in 1789 and a cordelier (machine for making rope) in 1792. He also designed a steam engine that used alcohol instead of water.

In 1790 Robert Grimshaw of Gorton, Manchester erected a weaving factory at Knott Mill which he intended to fill with 500 of Cartwright's power looms, but with only 30 in place the factory was burnt down, probably as an act of arson inspired by the fears of hand loom weavers. The prospect of success was not sufficiently promising to induce its re-erection.

In 1792, Dr Cartwright obtained his last patent for weaving machinery; this provided his loom with multiple shuttle boxes for weaving checks and cross stripes. However all his efforts were unavailing; it became apparent that no mechanism, however perfect, could succeed so long as warps continued to be sized while a loom was stationary. His plans for sizing them while a loom was in operation, and before being placed in a loom, failed. These problems were resolved in 1803, by william Radcliffe and his assistant Thomas Johnson, by their inventions of the beam warper, and the dressing sizing machine.

Cartwright added parts to his loom, namely a positive let-off motion, warp and weft stop motions, and sizing the warp while the loom was in action. He commenced to manufacture fabrics in Doncaster using these looms, and discovered many of their shortcomings. He attempted to remedy these in a number of ways: by introducing a crank and eccentric wheels to actuate its batten differentially, by improving the dicking mechanism, by means of a device for stopping the loom when a shuttle failed to enter a shuttle box, by preventing a shuttle from rebounding when in a box, and by stretching the cloth with temples that acted automatically. His mill was repossessed by creditors in 1793.

In 1809 Cartwright obtained a grant of £10,000 from parliament for his invention. In May 1821, he was elected a Fellow of the Royal Society.