The film, tentatively titled "Eisenhower: Thunder in June," is slated to air next May to coincide with the 60th anniversary of D-Day (June 6).
"It's not a biopic in the traditional sense," said Robert DeBitetto, A&E's senior vice president of programming.
"It's not even a World War II story in the traditional sense."
The film takes place during the 90 days leading up to D-Day, the 1944 Allied counter-punch that began when thousands of troops stormed the beaches of Normandy, France.
Former "Magnum, P.I." (search) star Selleck will portray General Eisenhower as he wrestles with the politics of war and his own power.
"It's how this remarkable general, against all odds, was able to orchestrate and pull off what became the most important military maneuver in history," DeBitetto said.
Eisenhower" is the latest in a slew of high-profile movies that A&E, best known for its "Biography" series, has in production.
Other films include a biopic about Arnold Schwartzenegger called "See Arnold Run."
A&E is also developing a film about Hillary Rodham Clinton, based on the best-selling book "Hillary's Choice," by Vanity Fair writer Gail Sheehy - and possibly starring Sharon Stone as the former First Lady turned New York Senator.
Other A&E biopics have included films about historical figures such as Napoleon and George Washington.