At the end of 1966, Graham Hill left the works BRM team to join Lotus, and Spence was chosen as his replacement. Driving the BRM P83 over the course of the Championship, Spence achieved points finishes in five races, though these consisted of four fifths and a sixth. He thus finished tenth in the Drivers' Championship with nine points. Continuing with BRM at the start of , Spence drove the P115 in the season opener in South Africa and the P126 in the Race of Champions and the International Trophy; he retired from all three races but performed strongly in the latter two, hinting at a great potential for the rest of the season.