Net Earnings Per Share - Weighted Average Number of Shares (Details) - USD ($)	3 Months Ended		12 Months Ended
	Jun. 30, 2019	Jun. 30, 2018	Mar. 31, 2019	Mar. 31, 2018
Earnings Per Share [Abstract]
Net Income Attributable to Air T, Inc. Shareholders	$ 1,782,352	$ 2,828,694	$ 1,339,995	$ 2,277,109
Weighted-average common shares outstanding
Basic (in shares)	2,252,698	3,065,411	3,052,124	3,064,209
Diluted (in shares)	2,256,868	3,074,547	3,059,838	3,071,528
Earnings Per Share Reconciliation [Abstract]
Basic (in dollars per share)	$ 0.79	$ 0.92	$ 0.44	$ 0.74
Diluted (in dollars per share)	$ 0.79	$ 0.92	$ 0.44	$ 0.74