James Simpson FRS FRSA (1799–1869) was a British civil engineer. He was president of the Institution of Civil Engineers from January 1853 to January 1855. James Simpson was the fourth son of Thomas Simpson, engineer of the Chelsea Waterworks. James succeeded his father in both this post and that of engineer of the Lambeth Waterworks Company. It was under Simpson's instruction that the Chelsea Waterworks became the first in the country to install a slow sand filtration system to purify the water they were drawing from the River Thames. This filter consisted of successive beds of loose brick, gravel and sand to remove solids from the water.