28‑Nov‑1968 | New York 3 | Carpet | QF | | | Tony Roche [AUS] d. Ralston | 6-4 6-3 | | | | | | | | | |
15‑Nov‑1968 | Wembley 3 | Hard | QF | | | John Newcombe [AUS] d. Ralston | 7-5 9-7 | | | | | | | | | |
15‑Nov‑1968 | Wembley 3 | Hard | R16 | | | Ralston d. Roger Taylor [GBR] | 3-6 6-3 6-4 | | | | | | | | | |
14‑Sep‑1968 | Los Angeles | Hard | R64 | | | Colin Stubs [AUS] d. (8)Ralston | 2-6 6-1 6-4 | | | | | | | | | |
29‑Aug‑1968 | US Open | Grass | QF | | | (3)Ken Rosewall [AUS] d. (6)Ralston | 6-2 6-2 6-3 | | | | | | | | | |
29‑Aug‑1968 | US Open | Grass | R16 | | | (6)Ralston d. Nikola Pilic [CRO] | 2-6 6-2 5-7 13-11 6-3 | | | | | | | | | |
29‑Aug‑1968 | US Open | Grass | R32 | | | (6)Ralston d. Joaquin Loyo Mayo [MEX] | 9-11 6-2 3-6 7-5 6-1 | | | | | | | | | |
29‑Aug‑1968 | US Open | Grass | R64 | | | (6)Ralston d. Richard Russell [JAM] | 6-1 6-4 6-1 | | | | | | | | | |
29‑Aug‑1968 | US Open | Grass | R128 | | | (6)Ralston d. Chum Steele [USA] | 6-3 6-0 6-4 | | | | | | | | | |
26‑Jul‑1968 | Bastad WCT | Clay | F | | | Ralston d. Nikola Pilic [CRO] | 6-3 7-5 6-1 | | | | | | | | | |
26‑Jul‑1968 | Bastad WCT | Clay | RR | | | Ralston d. John Newcombe [AUS] | 5-7 8-6 6-3 6-3 | | | | | | | | | |
26‑Jul‑1968 | Bastad WCT | Clay | RR | | | Roger Taylor [GBR] d. Ralston | 3-6 3-6 6-4 9-7 6-1 | | | | | | | | | |
21‑Jul‑1968 | Gstaad | Clay | SF | | | Tom Okker [NED] d. Ralston | 2-6 10-8 6-3 6-4 | | | | | | | | | |
21‑Jul‑1968 | Gstaad | Clay | QF | | | Ralston d. Istvan Gulyas [HUN] | 6-3 6-3 | | | | | | | | | |
21‑Jul‑1968 | Gstaad | Clay | R16 | | | Ralston d. Jaime Pinto Bravo [CHI] | 6-3 6-3 | | | | | | | | | |
21‑Jul‑1968 | Gstaad | Clay | R32 | | | Ralston d. Mathias Werren [SUI] | 6-2 6-1 | | | | | | | | | |
7‑Jul‑1968 | Paris 2 | Clay | R16 | | | Nikola Pilic [CRO] d. Ralston | 6-2 6-3 6-1 | | | | | | | | | |
24‑Jun‑1968 | Wimbledon | Grass | QF | | | (1)Rod Laver [AUS] d. (9)Ralston | 4-6 6-3 6-1 4-6 6-2 | | | | | | | | | |
24‑Jun‑1968 | Wimbledon | Grass | R16 | | | (9)Ralston d. Alex Metreveli [RUS] | 6-3 7-5 6-2 | | | | | | | | | |
24‑Jun‑1968 | Wimbledon | Grass | R32 | | | (9)Ralston d. Jose Edison Mandarino [BRA] | 6-2 6-4 6-2 | | | | | | | | | |
24‑Jun‑1968 | Wimbledon | Grass | R64 | | | (9)Ralston d. Cliff Richey [USA] | 6-3 3-6 7-9 6-3 13-11 | | | | | | | | | |
24‑Jun‑1968 | Wimbledon | Grass | R128 | | | (9)Ralston d. (Q)John Brown [AUS] | 6-1 7-5 8-6 | | | | | | | | | |
17‑Jun‑1968 | London | Grass | R64 | | | Robert Maud [RSA] d. Ralston | W/O | | | | | | | | | |
12‑Jun‑1968 | Boston 1 | Grass | BR | | | Tony Roche [AUS] d. Ralston | W/O | | | | | | | | | |
12‑Jun‑1968 | Boston 1 | Grass | SF | | | Rod Laver [AUS] d. Ralston | 6-2 8-6 6-1 | | | | | | | | | |
12‑Jun‑1968 | Boston 1 | Grass | QF | | | Ralston d. Nikola Pilic [CRO] | 5-7 6-4 10-8 6-2 | | | | | | | | | |
12‑Jun‑1968 | Boston 1 | Grass | R16 | | | Ralston d. Tony Palafox [MEX] | 11-9 12-10 | | | | | | | | | |
31‑May‑1968 | Baltimore WCT | Carpet | F | | | Ralston d. Tony Roche [AUS] | 6-0 6-4 | | | | | | | | | |
31‑May‑1968 | Baltimore WCT | Carpet | SF | | | Ralston d. Cliff Drysdale [RSA] | 11-9 11-9 | | | | | | | | | |
31‑May‑1968 | Baltimore WCT | Carpet | QF | | | Ralston d. Pierre Barthes [FRA] | 11-9 | | | | | | | | | |
10‑May‑1968 | Buffalo WCT | Carpet | F | | | Earl Butch Buchholz [USA] d. Ralston | 31-26 31-22 | | | | | | | | | |
10‑May‑1968 | Buffalo WCT | Carpet | SF | | | Ralston d. Pierre Barthes [FRA] | 31-18 31-19 | | | | | | | | | |
10‑May‑1968 | Buffalo WCT | Carpet | QF | | | Ralston d. Roger Taylor [GBR] | 31-26 31-17 | | | | | | | | | |
4‑May‑1968 | Minneapolis WCT | Carpet | F | | | Ralston d. John Newcombe [AUS] | 31-26 19-31 5-4 | | | | | | | | | |
4‑May‑1968 | Minneapolis WCT | Carpet | SF | | | Ralston d. Earl Butch Buchholz [USA] | 28-31 31-27 5-4 | | | | | | | | | |
4‑May‑1968 | Minneapolis WCT | Carpet | QF | | | Ralston d. Tony Roche [AUS] | 31-20 | | | | | | | | | |
20‑Apr‑1968 | Evansville WCT | Carpet | BR | | | Ralston d. Pierre Barthes [FRA] | 31-28 | | | | | | | | | |
20‑Apr‑1968 | Evansville WCT | Carpet | SF | | | John Newcombe [AUS] d. Ralston | 31-25 | | | | | | | | | |
20‑Apr‑1968 | Evansville WCT | Carpet | QF | | | Ralston d. Cliff Drysdale [RSA] | 31-29 | | | | | | | | | |
5‑Apr‑1968 | Fresno WCT | Carpet | QF | | | Tony Roche [AUS] d. Ralston | 21-20 15-21 5-1 | | | | | | | | | |
1‑Apr‑1968 | Bakersfield WCT | Carpet | QF | | | Pierre Barthes [FRA] d. Ralston | 31-18 | | | | | | | | | |
28‑Mar‑1968 | Los Altos Hills WCT | Carpet | F | | | Nikola Pilic [CRO] d. Ralston | 31-26 31-30 | | | | | | | | | |
28‑Mar‑1968 | Los Altos Hills WCT | Carpet | SF | | | Ralston d. Tony Roche [AUS] | 31-25 28-31 5-4 | | | | | | | | | |
28‑Mar‑1968 | Los Altos Hills WCT | Carpet | QF | | | Ralston d. Roger Taylor [GBR] | 31-30 31-24 | | | | | | | | | |
22‑Mar‑1968 | San Diego WCT | Carpet | F | | | Earl Butch Buchholz [USA] d. Ralston | 31-21 31-15 | | | | | | | | | |
22‑Mar‑1968 | San Diego WCT | Carpet | SF | | | Ralston d. John Newcombe [AUS] | 25-31 31-20 5-3 | | | | | | | | | |
22‑Mar‑1968 | San Diego WCT | Carpet | QF | | | Ralston d. Nikola Pilic [CRO] | 31-24 31-20 | | | | | | | | | |
27‑Feb‑1968 | Tulsa WCT | Carpet | F | | | Cliff Drysdale [RSA] d. Ralston | 31-24 | | | | | | | | | |
27‑Feb‑1968 | Tulsa WCT | Carpet | RR | | | Ralston d. John Newcombe [AUS] | 31-25 28-31 5-3 | | | | | | | | | |
27‑Feb‑1968 | Tulsa WCT | Carpet | RR | | | Ralston d. Tony Roche [AUS] | 31-27 28-31 5-3 | | | | | | | | | |
27‑Feb‑1968 | Tulsa WCT | Carpet | RR | | | Ralston d. Roger Taylor [GBR] | 31-24 26-31 5-4 | | | | | | | | | |
20‑Feb‑1968 | Orlando WCT | Carpet | F | | | Ralston d. Nikola Pilic [CRO] | 31-20 | | | | | | | | | |
20‑Feb‑1968 | Orlando WCT | Carpet | RR | | | Ralston d. John Newcombe [AUS] | 31-26 31-20 | | | | | | | | | |
20‑Feb‑1968 | Orlando WCT | Carpet | RR | | | Ralston d. Roger Taylor [GBR] | 31-25 31-26 | | | | | | | | | |
20‑Feb‑1968 | Orlando WCT | Carpet | RR | | | Ralston d. Pierre Barthes [FRA] | 31-13 31-16 | | | | | | | | | |
16‑Feb‑1968 | New Orleans WCT | Carpet | RR | | | Ralston d. Tony Roche [AUS] | 31-23 31-15 | | | | | | | | | |
16‑Feb‑1968 | New Orleans WCT | Carpet | RR | | | Cliff Drysdale [RSA] d. Ralston | 31-24 31-29 | | | | | | | | | |
16‑Feb‑1968 | New Orleans WCT | Carpet | RR | | | Roger Taylor [GBR] d. Ralston | 31-28 | | | | | | | | | |
13‑Feb‑1968 | Houston WCT | Carpet | F | | | Earl Butch Buchholz [USA] d. Ralston | 31-28 | | | | | | | | | |
13‑Feb‑1968 | Houston WCT | Carpet | RR | | | Ralston d. Tony Roche [AUS] | 31-21 25-31 | | | | | | | | | |
13‑Feb‑1968 | Houston WCT | Carpet | RR | | | Ralston d. Cliff Drysdale [RSA] | 31-28 31-19 | | | | | | | | | |
13‑Feb‑1968 | Houston WCT | Carpet | RR | | | Ralston d. Roger Taylor [GBR] | 31-28 31-25 | | | | | | | | | |
9‑Feb‑1968 | Miami WCT | Carpet | QF | | | Tony Roche [AUS] d. Ralston | 31-22 31-22 | | | | | | | | | |
8‑Feb‑1968 | Shreveport WCT | Hard | F | | | Ralston d. Earl Butch Buchholz [USA] | 31-23 31-25 | | | | | | | | | |
8‑Feb‑1968 | Shreveport WCT | Hard | SF | | | Ralston d. Tony Roche [AUS] | 31-25 | | | | | | | | | |
8‑Feb‑1968 | Shreveport WCT | Hard | QF | | | Ralston d. Cliff Drysdale [RSA] | 31-12 | | | | | | | | | |
1‑Feb‑1968 | WCT World Cup | Carpet | RR | | | Ralston d. John Newcombe [AUS] | 31-20 31-29 | | | | | | | | | |
1‑Feb‑1968 | WCT World Cup | Carpet | RR | | | Ralston d. Tony Roche [AUS] | 31-24 31-24 | | | | | | | | | |
1‑Feb‑1968 | WCT World Cup | Carpet | RR | | | Nikola Pilic [CRO] d. Ralston | 16-31 31-20 5-2 | | | | | | | | | |
1‑Feb‑1968 | WCT World Cup | Carpet | RR | | | Ralston d. Pierre Barthes [FRA] | 31-27 31-29 | | | | | | | | | |
20‑Jan‑1968 | Sydney WCT | Carpet | RR | | | Ralston d. Tony Roche [AUS] | 78-75 | | | | | | | | | |
20‑Jan‑1968 | Sydney WCT | Carpet | RR | | | Roger Taylor [GBR] d. Ralston | 91-67 | | | | | | | | | |
20‑Jan‑1968 | Sydney WCT | Carpet | RR | | | Pierre Barthes [FRA] d. Ralston | 83-70 | | | | | | | | | |