| 1º Turno | 2º Turno | 3º Turno | Final |
Round:
Played
07/26/1959 - Sunday
América-RN
2
x
1
Alecrim-RN
07/29/1959 - Wednesday
Santa Cruz de Natal-RN
4
x
2
Atlético-RN
08/02/1959 - Sunday
Riachuelo-RN
3
x
2
ABC-RN
08/05/1959 - Wednesday
Santa Cruz de Natal-RN
3
x
1
América-RN
08/15/1959 - Saturday
Atlético-RN
0
x
2
Riachuelo-RN
08/16/1959 - Sunday
ABC-RN
0
x
1
Santa Cruz de Natal-RN
08/19/1959 - Wednesday
América-RN
6
x
1
Atlético-RN
08/26/1959 - Wednesday
Alecrim-RN
4
x
2
Riachuelo-RN
09/03/1959 - Thursday
Alecrim-RN
3
x
0
Atlético-RN
09/06/1959 - Sunday
Santa Cruz de Natal-RN
2
x
2
Riachuelo-RN
09/16/1959 - Wednesday
Alecrim-RN
0
x
1
Santa Cruz de Natal-RN
09/19/1959 - Saturday
América-RN
2
x
3
ABC-RN
09/25/1959 - Friday
ABC-RN
2
x
2
Alecrim-RN
09/27/1959 - Sunday
Riachuelo-RN
5
x
2
América-RN
09/30/1959 - Wednesday
Atlético-RN
0
x
6
ABC-RN