David Terrien began his career in karting. He became world champion in Formula A in 1993, was also Vice- European Champion and second in the overall standings of the French Elite Championship in this class.
In 1996 he moved into the single-seater scene and drove for Graff Racing Mygale SJ96 on a. In 1998, he went on to Formula 3 and remained factory driver at Graff Racing. In the French Formula 3 Championship, he reached on a Dallara 396 end of the year in third place in the championship. In 1999 he drove a season in Formula 3000 and made his debut at the 24 Hours of Le Mans. Terrien drove a Lola B98/19 of the French DAMS team. His partners were Christophe and Franck Montagny Tinseau. The trio did not finish after an engine failure. With up to today four starts at the Sarthe he came only once to the finish, when he was 25 on a 2003 Ferrari 360 Modena GT overall.
In the 2000s, the youngster competed in the FIA GT Championship. In 2002, he celebrated with the overall win at the 24 hour race at Spa -Francorchamps, his biggest success in motorsport. 2008 Terrien appeared regularly in the Speedcar Series.