| Positions By Race |
| 1st | | | | Monte Carlo: Hill, Graham for BRM | | Spa: Clark, Jim for Lotus | | Zandvoort: Clark, Jim for Lotus | | Reims-Gueux: Clark, Jim for Lotus | | Silverstone: Clark, Jim for Lotus | | : Surtees, John for Ferrari | | Monza: Clark, Jim for Lotus | | Watkins Glen: Hill, Graham for BRM | | Hermanos Rodriguez: Clark, Jim for Lotus | | Prince George: Clark, Jim for Lotus |
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| 2nd | | | | Monte Carlo: Ginther, Richie for BRM | | Spa: McLaren, Bruce for Cooper | | Zandvoort: Gurney, Dan for Brabham | | Reims-Gueux: Maggs, Tony for Cooper | | Silverstone: Surtees, John for Ferrari | | : Clark, Jim for Lotus | | Monza: Ginther, Richie for BRM | | Watkins Glen: Ginther, Richie for BRM | | Hermanos Rodriguez: Brabham, Jack for Brabham | | Prince George: Gurney, Dan for Brabham |
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| 3rd | | | | Monte Carlo: McLaren, Bruce for Cooper | | Spa: Gurney, Dan for Brabham | | Zandvoort: Surtees, John for Ferrari | | Reims-Gueux: Hill, Graham for BRM | | Silverstone: Hill, Graham for BRM | | : Ginther, Richie for BRM | | Monza: McLaren, Bruce for Cooper | | Watkins Glen: Clark, Jim for Lotus | | Hermanos Rodriguez: Ginther, Richie for BRM | | Prince George: Hill, Graham for BRM |
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| 4th | | | | Monte Carlo: Surtees, John for Ferrari | | Spa: Ginther, Richie for BRM | | Zandvoort: Ireland, Innes for BRP | | Reims-Gueux: Brabham, Jack for Brabham | | Silverstone: Ginther, Richie for BRM | | : Mitter, Gerhard for Porsche | | Monza: Ireland, Innes for BRP | | Watkins Glen: Brabham, Jack for Brabham | | Hermanos Rodriguez: Hill, Graham for BRM | | Prince George: McLaren, Bruce for Cooper |
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| 5th | | | | Monte Carlo: Maggs, Tony for Cooper | | Spa: Bonnier, Jo for Cooper | | Zandvoort: Ginther, Richie for BRM | | Reims-Gueux: Gurney, Dan for Brabham | | Silverstone: Bandini, Lorenzo for BRM | | : Hall, Jim for Lotus | | Monza: Brabham, Jack for Brabham | | Watkins Glen: Bandini, Lorenzo for Ferrari | | Hermanos Rodriguez: Bonnier, Jo for Cooper | | Prince George: Bandini, Lorenzo for Ferrari |
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| 6th | | | | Monte Carlo: Taylor, Trevor for Lotus | | Spa: Godin de Beaufort, Carel for Porsche | | Zandvoort: Scarfiotti, Ludovico for Ferrari | | Reims-Gueux: Siffert, Jo for Lotus | | Silverstone: Hall, Jim for Lotus | | : Bonnier, Jo for Cooper | | Monza: Maggs, Tony for Cooper | | Watkins Glen: Godin de Beaufort, Carel for Porsche | | Hermanos Rodriguez: Gurney, Dan for Brabham | | Prince George: Bonnier, Jo for Cooper |
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| 7th | | | | Monte Carlo: Bonnier, Jo for Cooper | | Spa: Maggs, Tony for Cooper | | Zandvoort: Siffert, Jo for Lotus | | Reims-Gueux: Amon, Chris for Lola | | Silverstone: Amon, Chris for Lola | | : Brabham, Jack for Brabham | | Monza: Bonnier, Jo for Cooper | | Watkins Glen: Broeker, Peter for Stebro | | Hermanos Rodriguez: Sharp, Hap for Lotus | | Prince George: Maggs, Tony for Cooper |
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| 8th | | | | Monte Carlo: Clark, Jim for Lotus | | Spa: Settember, Tony for Scirocco | | Zandvoort: Hall, Jim for Lotus | | Reims-Gueux: Trintignant, Maurice for Lotus | | Silverstone: Hailwood, Mike for Lotus | | : Taylor, Trevor for Lotus | | Monza: Hall, Jim for Lotus | | Watkins Glen: Bonnier, Jo for Cooper | | Hermanos Rodriguez: Hall, Jim for Lotus | | Prince George: Taylor, Trevor for Lotus |
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| 9th | | | | Monte Carlo: Brabham, Jack for Lotus | | Spa: Surtees, John for Ferrari | | Zandvoort: Godin de Beaufort, Carel for Porsche | | Reims-Gueux: Ireland, Innes for BRP | | Silverstone: Maggs, Tony for Cooper | | : Siffert, Jo for Lotus | | Monza: Trintignant, Maurice for BRM | | Watkins Glen: Surtees, John for Ferrari | | Hermanos Rodriguez: Siffert, Jo for Lotus | | Prince George: Love, John for Cooper |
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| 10th | | | | Monte Carlo: Ireland, Innes for Lotus | | Spa: Hill, Graham for BRM | | Zandvoort: Taylor, Trevor for Lotus | | Reims-Gueux: Bandini, Lorenzo for BRM | | Silverstone: Godin de Beaufort, Carel for Porsche | | : Collomb, Bernard for Lotus | | Monza: Hailwood, Mike for Lola | | Watkins Glen: Hall, Jim for Lotus | | Hermanos Rodriguez: Godin de Beaufort, Carel for Porsche | | Prince George: Godin de Beaufort, Carel for Porsche |
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| 12th | | | | Monte Carlo: Trintignant, Maurice for Lola | | Spa: Hall, Jim for Lotus | | Zandvoort: Hill, Graham for BRM | | Reims-Gueux: McLaren, Bruce for Cooper | | Silverstone: Anderson, Bob for Lola | | : Maggs, Tony for Cooper | | Monza: Anderson, Bob for Lola | | Watkins Glen: Siffert, Jo for Lotus | | Hermanos Rodriguez: Hill, Phil for Automobili Turismo e Sport | | Prince George: Blokdyk, Trevor for Cooper |
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| 13th | | | | Monte Carlo: Gurney, Dan for Brabham | | Spa: Siffert, Jo for Lotus | | Zandvoort: Brabham, Jack for Brabham | | Reims-Gueux: Taylor, Trevor for Lotus | | Silverstone: Campbell-Jones, John for Lola | | : Gurney, Dan for Brabham | | Monza: Spence, Mike for Lotus | | Watkins Glen: Maggs, Tony for Cooper | | Hermanos Rodriguez: Bandini, Lorenzo for Ferrari | | Prince George: Brabham, Jack for Brabham |
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