The 16th BRDC International Trophy was a motor race run to Formula One rules, held on 2 May 1964 at the Silverstone Circuit, England. The race was run over 52 laps, and was won by Australian driver Jack Brabham in his own Brabham BT7.

Pos	Driver	Entrant	Constructor	Time/Retired	Grid
1	Jack Brabham	Brabham Racing Organisation	Brabham-Climax	1.22:45.2	2
2	Graham Hill	Owen Racing Organisation	BRM	+ 0.0	3
3	Peter Arundell	Team Lotus	Lotus-Climax	+ 1:29.0	6
4	Phil Hill	Cooper Car Company	Cooper-Climax	51 laps	9
5	Chris Amon	Reg Parnell Racing	Lotus-BRM	51 laps	12
6	Mike Hailwood	Reg Parnell Racing	Lotus-BRM	51 laps	11
7	Tony Maggs	Scuderia Centro Sud	BRM	51 laps	13
8	Giancarlo Baghetti	Scuderia Centro Sud	BRM	49 laps	16
9	Peter Revson	Revson Racing (America)	Lotus-BRM	49 laps	15
10	John Taylor	Gerard Racing	Cooper-Ford	49 laps	14
11	Jo Siffert	Siffert Racing Team	Lotus-BRM	49 laps	21
12	Innes Ireland	British Racing Partnership	BRP-BRM	Accident (47 laps)	8
13	Carel Godin de Beaufort	Ecurie Maarsbergen	Porsche	47 laps	22
14	Jean-Claude Rudaz	Fabre Urbain	Cooper-Climax	47 laps	20
15	Bruce McLaren	Cooper Car Company	Cooper-Climax	Handling (40 laps)	5
16	Jo Bonnier	Rob Walker Racing Team	Cooper-Climax	39 laps	17
Ret	Dan Gurney	Brabham Racing Organisation	Brabham-Climax	Brakes	1
Ret	Ian Raby	Ian Raby (Racing)	Brabham-BRM	Piston	19
Ret	John Surtees	SEFAC Ferrari	Ferrari	Fuel pump	7
Ret	Trevor Taylor	British Racing Partnership	BRP-BRM	Oil pressure	10
Ret	Bob Anderson	DW Racing Enterprises	Brabham-Climax	Clutch	18
Ret	Jim Clark	Team Lotus	Lotus-Climax	Engine	4
WD	Richie Ginther	Owen Racing Organisation	BRM	No car	-
WD	Lorenzo Bandini	SEFAC Ferrari	Ferrari		-

• "The Grand Prix Who's Who", Steve Small, 1995.
• "The Formula One Record Book", John Thompson, 1974.