Albert Theodore Twesme (August 7, 1879 – June 27, 1949) was an American lawyer, jurist, and Republican politician from Trempealeau County, Wisconsin.

He sought the Republican nomination for Attorney General of Wisconsin in 1926, but lost to John W. Reynolds, Sr., who went on to serve three terms in the office.

In 1934, he sought the Republican nomination for U.S. House of Representatives in Wisconsin's 9th congressional district, but lost the primary to Knute Anderson, who went on to lose the general election.

He suffered a heart attack while playing a round of golf at the Maple Grove Country Club in West Salem, Wisconsin, on June 27, 1949.

Their son, Albert L. Twesme, served in the United States Navy aboard the battleship USS Colorado throughout many of the significant battles of the Pacific War, and was present at the Surrender of Japan in 1945.