Sir Napier Shaw (March 4, 1854 - March 23, 1945), British meteorologist. He introduced the air pressure unit millibar, as well as the tephigram , a diargam of temperature changes.

Shaw was born in Birmingham. He studied at the University of Cambridge, where he later, between 1877 and 1906, taught physics. In 1891, he became a member of the Royal Society.

In 1909, he intruduced the millibar unit, which was internationally adopted in 1929. In 1915, he developed the tephigram. Shaw also studied air pollution, publishing his book The Smoke Problem of Great Cities in 1925.

Shaw died in London.