The trophy of the tournament was donated by Adrián C. Escobar, president of the AFA in 1939, year in which the match was created.
It was a heptagonal competition, competed by the seven best placed teams in the table of Primera División championship.
The second to seven competed in the quarter-finals, while the champions of the official league entered the semi-finals directly.
When matches were drawn, the team gaining the higher number of corner kicks would proceed to the next round.
The following list includes all the editions of the Copa Adrián C. Escobar:[3] Source: [4]