26‑Dec‑1971 | Australian Open | Grass | QF | | | (4)Alex Metreveli [RUS] d. (11)Cooper | 6-7 6-2 6-3 6-4 | | | | | | | | | |
26‑Dec‑1971 | Australian Open | Grass | R16 | | | (11)Cooper d. Frank Sedgman [AUS] | 3-6 6-3 6-1 6-3 | | | | | | | | | |
26‑Dec‑1971 | Australian Open | Grass | R32 | | | (11)Cooper d. Patrick Proisy [FRA] | 4-6 6-3 6-4 6-2 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | F | | | Mal Anderson [AUS] d. Cooper | 6-4 6-4 6-7 7-6 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | SF | | | Cooper d. Colin Dibley [AUS] | 4-6 4-6 7-5 6-4 9-7 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | QF | | | Cooper d. Ross Case [AUS] | 0-6 6-1 6-2 3-6 6-3 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | R16 | | | Cooper d. Paul Kronk [AUS] | 6-4 6-1 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | R32 | | | Cooper d. John Marks [AUS] | 7-6 6-1 | | | | | | | | | |
6‑Dec‑1971 | Brisbane | Grass | R64 | | | Cooper d. W Marsden [AUS] | 6-2 6-1 | | | | | | | | | |
27‑Sep‑1971 | Berkeley | Hard | R64 | | | Robert Lutz [USA] d. Cooper | 6-2 6-1 | | | | | | | | | |
20‑Sep‑1971 | Los Angeles | Hard | R16 | | | (8)Robert Lutz [USA] d. Cooper | 6-4 6-4 | | | | | | | | | |
20‑Sep‑1971 | Los Angeles | Hard | R32 | | | Cooper d. Alejandro Olmedo [PER] | 6-2 6-2 | | | | | | | | | |
20‑Sep‑1971 | Los Angeles | Hard | R64 | | | Cooper d. Pierre Barthes [FRA] | 6-1 6-4 | | | | | | | | | |
20‑Sep‑1971 | Sacramento | Hard | R64 | | | Georges Goven [FRA] d. Cooper | 3-6 6-3 6-3 | | | | | | | | | |
1‑Sep‑1971 | South Orange | Hard | R32 | | | Roscoe Tanner [USA] d. Cooper | 6-3 6-4 | | | | | | | | | |
1‑Sep‑1971 | US Open | Grass | R64 | | | Roscoe Tanner [USA] d. Cooper | 5-7 7-6 6-7 7-5 6-3 | | | | | | | | | |
1‑Sep‑1971 | South Orange | Hard | R64 | | | Cooper d. Ismail El Shafei [EGY] | 3-6 6-3 7-6 | | | | | | | | | |
1‑Sep‑1971 | US Open | Grass | R128 | | | Cooper d. Geoff Masters [AUS] | 6-4 3-6 6-2 4-6 6-3 | | | | | | | | | |
22‑Aug‑1971 | Merion | Hard | R16 | | | (5)Jan Leschly [DEN] d. Cooper | 6-3 6-4 | | | | | | | | | |
22‑Aug‑1971 | Merion | Hard | R32 | | | Cooper d. Ross Case [AUS] | 4-6 6-3 6-2 | | | | | | | | | |
22‑Aug‑1971 | Merion | Hard | R64 | | | Cooper d. Vicente Zarazua [MEX] | 3-6 6-1 7-5 | | | | | | | | | |
9‑Aug‑1971 | Indianapolis | Clay | R32 | | | Jan Leschly [DEN] d. Cooper | 6-0 6-4 | | | | | | | | | |
9‑Aug‑1971 | Indianapolis | Clay | R64 | | | Cooper d. (6)Alejandro Olmedo [PER] | 6-1 6-3 | | | | | | | | | |
3‑Aug‑1971 | Hilversum | Hard | R32 | | | Jun Kamiwazumi [JPN] d. Cooper | 8-6 8-6 | | | | | | | | | |
3‑Aug‑1971 | Hilversum | Hard | R64 | | | Cooper d. Jan Coebergh [UNK] | 4-6 6-3 6-3 | | | | | | | | | |
2‑Aug‑1971 | Cincinnati | Clay | R64 | | | Jimmy Connors [USA] d. Cooper | 6-7 7-6 6-3 | | | | | | | | | |
19‑Jul‑1971 | Kitzbuhel | Clay | R32 | | | Geza Varga [HUN] d. Cooper | 6-2 7-6 6-3 | | | | | | | | | |
10‑Jul‑1971 | Gstaad | Clay | R16 | | | Ismail El Shafei [EGY] d. Cooper | 6-4 6-4 | | | | | | | | | |
10‑Jul‑1971 | Gstaad | Clay | R32 | | | Cooper d. Raymond Moore [RSA] | 6-2 6-4 | | | | | | | | | |
31‑May‑1971 | Manchester | Grass | QF | | | Colin Dibley [AUS] d. Cooper | 6-4 10-12 6-4 | | | | | | | | | |
31‑May‑1971 | Manchester | Grass | R16 | | | Cooper d. Thomaz Koch [BRA] | 6-4 5-7 6-4 | | | | | | | | | |
31‑May‑1971 | Manchester | Grass | R32 | | | Cooper d. Alvin Gardiner [AUS] | 6-4 6-4 | | | | | | | | | |
31‑May‑1971 | Manchester | Grass | R64 | | | Cooper d. A Amer [SUD] | 6-2 6-1 | | | | | | | | | |
21‑May‑1971 | Roland Garros | Clay | R64 | | | Frank Froehling [USA] d. Cooper | 6-2 6-2 6-3 | | | | | | | | | |
21‑May‑1971 | Roland Garros | Clay | R128 | | | Cooper d. (10)Roger Taylor [GBR] | 6-8 6-2 6-3 5-7 RET | | | | | | | | | |
23‑Apr‑1971 | Davis Cup AME F: JPN vs AUS | | RR | | | Keishiro Yanagi [JPN] d. Cooper | 6-3 6-4 2-6 1-6 6-3 | | | | | | | | | |
23‑Apr‑1971 | Davis Cup AME F: JPN vs AUS | | RR | | | Toshiro Sakai [JPN] d. Cooper | 6-1 15-13 8-6 | | | | | | | | | |
3‑Apr‑1971 | Davis Cup AME SF: INA vs AUS | | RR | | | Atet Wijono [INA] d. Cooper | 6-4 6-4 10-8 | | | | | | | | | |
27‑Mar‑1971 | Davis Cup AME QF: HKG vs AUS | | RR | | | Cooper d. Kenneth Tsui [HKG] | 6-2 6-4 6-2 | | | | | | | | | |
27‑Mar‑1971 | Davis Cup AME QF: HKG vs AUS | | RR | | | Cooper d. Louis Hsu [HKG] | 6-3 6-1 6-0 | | | | | | | | | |
7‑Mar‑1971 | Auckland | Hard | QF | | | Brian Fairlie [NZL] d. Cooper | 6-3 3-6 6-3 6-4 | | | | | | | | | |
7‑Mar‑1971 | Auckland | Hard | R16 | | | Cooper d. Frew Mcmillan [RSA] | 3-6 4-6 7-5 6-4 6-1 | | | | | | | | | |
7‑Mar‑1971 | Auckland | Hard | R32 | | | Cooper d. Ian Beverly [UNK] | 6-4 6-3 6-3 | | | | | | | | | |
7‑Mar‑1971 | Australian Open | Grass | R32 | | | (15)Mark Cox [GBR] d. Cooper | 6-3 7-6 6-4 | | | | | | | | | |
7‑Mar‑1971 | Australian Open | Grass | R64 | | | Cooper d. Robert Maud [RSA] | 3-6 6-4 2-6 6-4 7-6 | | | | | | | | | |
23‑Jan‑1971 | Melbourne | Grass | QF | | | Phil Dent [AUS] d. Cooper | 2-6 6-3 7-6 6-2 | | | | | | | | | |
23‑Jan‑1971 | Melbourne | Grass | R16 | | | Cooper d. Frank Sedgman [AUS] | 4-6 6-3 6-4 7-6 | | | | | | | | | |
23‑Jan‑1971 | Melbourne | Grass | R32 | | | Cooper d. Max Cocks [AUS] | 6-0 6-1 6-0 | | | | | | | | | |
23‑Jan‑1971 | Melbourne | Grass | R64 | | | Cooper d. Allan Mcdonald [AUS] | 6-3 7-5 6-4 | | | | | | | | | |
18‑Jan‑1971 | Sydney Outdoor | Hard | R16 | | | Bob Giltinan [AUS] d. Cooper | 6-4 3-6 4-6 7-5 7-5 | | | | | | | | | |
18‑Jan‑1971 | Sydney Outdoor | Hard | R32 | | | Cooper d. Greg Perkins [AUS] | 6-1 6-3 6-3 | | | | | | | | | |
10‑Jan‑1971 | Hobart | Hard | R16 | | | Peter Doerner [AUS] d. Cooper | 7-5 6-4 | | | | | | | | | |