Having won the 1973 World Championship for Makes with the MS670B, Matra developed the MS670C as a further refinement for 1974. The car shared the 3.0-litre Matra Sports V12 engine that had powered the entire MS670 family and carried forward the aerodynamic and chassis learning accumulated since the original MS670's debut in 1972. For 1974, Jean-Pierre Jarier was added to the driver roster alongside the established combination of Pescarolo and Larrousse and Jean-Pierre Beltoise, giving Matra a strong four-driver attack across multiple entries.
The MS670C debuted at the 1974 1000 km of Monza. Both cars — Pescarolo and Larrousse in one, Beltoise and Jarier in the other — retired with engine failure, a difficult opening to the season. The team responded strongly at the next round, the 1000 km of Spa, where Jarier partnered Jacky Ickx to win the race outright. Pescarolo and Larrousse retired from Spa with a broken head gasket.
At the 1000 km of Nürburgring, Beltoise and Jarier won and Pescarolo and Larrousse finished fifth. The 1000 km of Imola then produced Pescarolo and Larrousse's first victory of 1974, with Beltoise and Jarier fourth.
Matra chose to run the newer MS680 rather than the MS670C at the 24 Hours of Le Mans. Pescarolo and Larrousse won that race for the third consecutive year; Jabouille and François Migault finished third; the other two entries retired with engine failure. The Le Mans victory was scored with the MS680 but represented the continuation of the same programme that the MS670C anchored throughout the season.
Following Le Mans, the team returned to the MS670C for all remaining rounds. Pescarolo and Larrousse won the 1000 km of Zeltweg, with Beltoise and Jarier third. At the Watkins Glen 6 Hours, Beltoise and Jarier won and Pescarolo and Larrousse retired with a broken gear shift lever. Beltoise and Jarier then won both the 1000 km of Le Castellet and the 1000 km of Brands Hatch, with Pescarolo and Larrousse second in both races. The final round of the season, the Kyalami 6 Hours, brought the reverse result: Pescarolo and Larrousse won from Beltoise and Jarier.
Matra scored 140 points in the 1974 World Championship for Makes, winning the title for the second consecutive season.
At the end of 1974, Matra announced its withdrawal from motor racing. The decision ended one of the most successful manufacturer campaigns the World Championship for Makes had seen, spanning three consecutive Le Mans victories with Pescarolo as part of the winning crew in all three and back-to-back manufacturers' championships in 1973 and 1974. The MS670C was the last Matra prototype to carry the team to a race victory, and its combination of reliability and outright pace across the second half of the 1974 season underlined how competitive the programme remained right up to its final round.
The MS670 family as a whole — MS670, MS670B, and MS670C — represents one of the most coherent and successful development arcs in endurance racing history. From its debut Le Mans victory in 1972 to the MS670C's final win at Kyalami in late 1974, the lineage produced victories at Le Mans, Spa, Nürburgring, Watkins Glen, Zeltweg, Le Castellet, Brands Hatch, Imola, and Kyalami. Matra's decision to withdraw while at the peak of competitiveness ensured the programme ended without decline, leaving the MS670C's record unblemished.