Andrew Grant Chapman (January 17, 1839 – September 25, 1892) was an American politician.

After being tutored at home, he attended the Charlotte Hall Academy of St. Mary's County, Maryland.

He moved to Baltimore, Maryland, in 1860, was admitted to the bar the same year, and commenced practice there.

In 1864, Chapman moved to Port Tobacco, Maryland, and continued the practice of law and engaged in agricultural pursuits Chapman was a member of the Maryland House of Delegates in 1867, 1868, 1870, 1872, 1879, and 1885.

He was an unsuccessful candidate for reelection in 1882 to the Forty-eighth Congress, and resumed the practice of law.