The two-seat aircraft belonging to the 14th Flying Training Wing went down around 5:30 p.m. near Dannelly Field in Montgomery, Alabama.
"The condition of the pilots is unknown at this time," officials said in a release. "A safety investigation board will convene to investigate the accident.
The crash comes a day after another incident involving the T-38. On Thursday, a trainer jet assigned to the 9th Reconnaissance Wing was forced to execute a "gear-up landing" at Mather Airport, California. No injuries were reported.
This story will be updated.
-- Hope Hodge Seck can be reached at email@example.com. Follow her on Twitter at @HopeSeck.