Her husband had been a French photographer before taking up work as an osteopath.
They were married in Oxnam, near the Borders of Scotland, in June 1999 and they had four children – Marcel, Cecily, Jasmine and Iris.
Tennant herself had initially studied sculpture at the Winchester School of Art. In 1993, she had sent photos of herself to a high fashion magazine.
She caught the attention of photographers due to her unusual nasal septum piercing, which was a rare look for models at the time.
She has featured on many Vogue covers across the world, and has acted as the face of Chanel and Dior.