The 1964 Mexican Grand Prix was a Formula One motor race held at the Ciudad Deportiva Magdalena Mixhuca in Mexico City on 25 October 1964. It was race 10 of 10 in both the 1964 World Championship of Drivers and the 1964 International Cup for Formula One Manufacturers.
It was perhaps the most dramatic finale in the history of the World Championship. Championship points could only be scored by the first six finishers (9–6–4–3–2–1 points). Arriving to the race, three drivers had a chance of winning the title: Graham Hill (BRM P261) with 39 points, John Surtees (Ferrari) with 34, and Jim Clark (Lotus 33-Climax) with 30. In order to win the title, Clark had to win the race, with Surtees finishing not higher than third and Hill not higher than fourth. Surtees could only win the title by finishing first, in each case, or second, unless Hill finished as high as third.
The race began with Clark leading from pole position with Dan Gurney running second in the Brabham-Climax (Gurney had only ten points going into this race having won the French Grand Prix and scored a sixth place at the Belgian Grand Prix). Hill and Lorenzo Bandini, Surtees's teammate, were duelling for third place, with Surtees a distant fifth, seemingly with no chance at winning the title. Then Bandini ran into the back of Hill's BRM, causing him to spin into the Armco, damaging his exhaust and lose a few places.
|}
Final Championship standings
- Bold text indicates the World Champions.
;Drivers' Championship standings
{| class="wikitable" style="font-size: 95%;"
|-
!
!Pos
!Driver
!Points
|-
|align="left"| 10px 1
|align="center"| 1
| John Surtees
| align="left"| 40
|-
|align="left"| 10px 1
|align="center"| 2
| Graham Hill
| align="left"| 39 (41)
|-
|align="left"| 10px
|align="center"| 3
| Jim Clark
| align="left"| 32
|-
|align="left"| 10px 1
|align="center"| 4
| Lorenzo Bandini
| align="left"| 23
|-
|align="left"| 10px 1
|align="center"| 5
| Richie Ginther
| align="left"| 23
|-
!colspan=4|Source:
|}
;Constructors' Championship standings
{|class="wikitable" style="font-size: 95%;"
|-
!
! Pos
! Constructor
! Points
|-
|align="left"| 10px
|align="center"| 1
| Ferrari
| align="left"| 45 (49)
|-
|align="left"| 10px
|align="center"| 2
| BRM
| align="left"| 42 (51)
|-
|align="left"| 10px
|align="center"| 3
| Lotus-Climax
| align="left"| 37 (40)
|-
|align="left"| 10px
|align="center"| 4
| Brabham-Climax
| align="left"| 30
|-
|align="left"| 10px
|align="center"| 5
| Cooper-Climax
| align="left"| 16
|-
!colspan=4|Source: