The air force says rescuers reached Maria Nelly Murillo and her child in a remote area of western Colombia and flew them to the town of Quibdo for medical treatment. Murillo suffered some injuries and burns but the baby was unhurt.
The official statement says the two were aboard a twin-engine Cessna that crashed Saturday, killing the pilot.
Murillo told rescuers she climbed a hill with her child to get away from the plane, which she feared might explode.
Air Force Col. Hector Carrascal called her survival a miracle.