Albert Simpson Shaw (March 1, 1881 – December 30, 1974) was an American professional baseball player.

He played all or part of five seasons in Major League Baseball, from 1907 to 1909 and 1914 to 1915.

He was an outfielder for 418 of his 423 games played.

Shaw recorded 74 doubles and 28 triples, while hitting 14 home runs in 4+ seasons.

This biographical article relating to an American baseball outfielder born in the 1880s is a stub.