In-order to allow running at 125 mph on Britain's Victorian era railways, new rolling stock was needed by British Railways. Significant improvements over the Mk2 included new secondary air suspension between the bogies and the coach body as well as aerodynamic skirting on the underframe.

Mk3 coaches are 75ft (23m) long, enabling far greater capacity than older coaches. Mk3 coaches also incorporate disk brakes and wheel slip protection enabling faster deceleration. The first Mk3 coaches to be delivered were used as part of the HST prototype along with the two Class 41 diesel power cars in 1972. Mk3 coaches entered service in 1975 along with the Class 43 forming the iconic InterCity 125 trainset. After the HST Mk3 coach variant was introduced, further Mk3 coaches were introduced to the West Coast Mainline for use as part of locomotive hauled trains. Whilst Mk3 stock is standard for HST units, the standard locomotive hauled stock is Mk3a. Mk3a stock differs from Mk3 stock due to the inclusion of buffers as well as a different electrical system that uses motor generator units in each coach to power air conditioning and other ancillaries Mk3a stock was built until 1984, before 3B stock with improved seating and lighting was built from 1985 to 1988.

The Mark 3 coaches were introduced into service with the Class 43s as the Intercity 125 service. This top flight service was dressed in a variation of BR Blue with a grey window surround. The Class 43s would be painted in a complimentary colour scheme with yellow noses for safety reasons. The Mark 3 coaches would continue in service in this scheme until the late 1990s. In preservation, some of these coaches have had this distinctive livery reapplied.