His first published engravings appeared in the early 19th century attributed to J. H. Meyer, he later dropped the J and most of his works were published under the name Henry Meyer or H. Meyer. In the ensuing years he showed his skill at portraits and decorative subjects. He produced engravings of such notables as Lady Hamilton, Admiral Nelson, Sir John Nicholl, Lord Hawkesbury, Lord Byron, and Giuseppe Ambrogetti. His painting of Charles Lamb was hung in the India Office for many years. He was a founding member of the Society of British Artists, exhibiting many of his works with this association between 1824 and 1830, and acting as its President in 1828/9.