In 1972, the GAZ-24-02 4-door station wagon was introduced, fitted with three rows of seats. However, Volga wagons were not sold to private owners without special permit. For example, families with many children or sportsmen who had to carry heavy sport equipment (like parachutes) were allowed to purchase a Volga wagon. Famous clown and actor Yuri Nikulin was permitted to own a GAZ-24-02 wagon because he often transported heavy circus equipment. This restriction came from small volume of GAZ-24-02 production. Wagons were primarily used by hospitals (as ambulances), state-owned shops and taxi companies, Militsiya, GAI, post offices and other state enterprises. The wagon was sold freely in export markets.

The GAZ-24-02 had generous interior area with 3 rows of seats and 7-8-passenger seating. Area behind the front seat could be converted into spacious one-level cargo compartment. 24-02 had heavy-duty rear leaf springs (six leaves as opposed to the sedan's five) and could carry up to 400 kg (880 lb), thanks to stiffer rear springs.

The GAZ-24-04 was a taxicab breed of Volga station wagon with distinctive features similar to sedan taxicab. Ambulance modification GAZ-24-03 was introduced in 1973.