Rodríguez drove all but two races in the Owen Racing Organisation P133 in 1968. 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.