They say 23-year-old Jose Jimenez was arrested Monday on suspicion of driving while under the influence of liquor or drugs.
It appears to be his second DWI offense.
State Police say Jimenez’s vehicle veered off a road and through a field before crashing through the fence surrounding the academy’s track.
At the time, officers were teaching driving techniques to this year’s Youth Academy and had just left the area of the track where the crash occurred.
Members of the Santa Fe Police Department Motor Team also were conducting training on the track.
Authorities say no injuries were reported.