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The March 723 was a Formula 3 race car from 1972 that was built by March Engineering.

The March 723 was the successor to the March 713, the Formula 3 racing car from the 1971 season, which had the basic design for all-March Formula 3 cars until 1978.

The 723 was used in the British Formula 3 championship by the factory team and many private drivers. The 723 was far from the fastest car of the year and so many drivers switched mid-season to competing products from GRD and Ensign.

In 1973, the far more successful March 733 was released.