WASHINGTON -- The request for troops sent to President Barack Obama by the top U.S. commander in Afghanistan includes three different options, with the largest alternative including a request for more than 60,000 troops, according to a U.S. official familiar with the document.

Although the top option is more than the 40,000 soldiers previously understood to be the top troop total sought by Gen. Stanley McChrystal, the top U.S. officer in Kabul, 40,000 remains the primary choice of senior military brass, including Gen. McChrystal,...