As she let go of the girl, he sprinted to where the baby was falling and managed to grab her hands before she hit the floor, reports the Diario de León newspaper.
He scooped the terrified baby into his arms for safety and called the National Police to report the incident.
One witness said: 'I'm not sure what led to this happening, but suddenly she began to shout, became incredibly hysterical and was mounting a tremendous racket.'