The P133 was the works built version of the Len Terry designed P126, the three examples of which had been built by Terry's Transatlantic Automotive Consultants concern. It was powered by a 3.0-litre V12 engine.
The Spanish and Monaco Grands Prix saw the Mexican qualify second and ninth respectively and retire both times when he crashed. At Belgium, Rodríguez qualified eighth and finished second. The Dutch Grand Prix saw the Mexican qualify 11th and finish third. At France, Rodríguez qualified 10th and was not classified. The British Grand Prix saw the Mexican qualify 13th and retire when his engine blew. At Germany, Rodríguez qualified 14th and finished sixth. The P133 was not used in the Italian Grand Prix but was used for the Canadian Grand Prix when the Mexican qualified 12th and finished 3rd. In the United States, Rodríguez qualified 11th and retired with broken suspension. The final race of 1968 was the Mexican Grand Prix saw the Mexican qualify 12th and finish 4th in front of his home crowd.
At the end of the year, despite Rodríguez's good performances, BRM team manager Louis Stanley released him to the Reg Parnell Racing privately entered BRM team for 1969.
The first race of the year was the South African Grand Prix when the Englishman qualified 14th and finished 7th. At Spain Oliver qualified 10th and retired with a broken oil pipe. The Monaco Grand Prix saw him qualify 13th and retire when he crashed into the back of Richard Attwood's Lotus. At Holland Oliver qualified 13th and retired with a broken gearbox. The team skipped the French Grand Prix but entered the British Grand Prix when Oliver qualified 13th and retired when his transmission failed.
Formula One World Championship results
(key)(results in bold indicate pole position, results in italics indicate fastest lap)