The happy couple have both uploaded new photographs to their Instagram accounts following their romantic wedding ceremony in London last week, including a picture of James' brand new tattoo dedicated to the big day.
"Mini moon ripped jeans & a new tat @cook_james #DreamiestDay," Poppy wrote alongside a close-up of the inking, a cross with the date 16.5.14 inscribed underneath.
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Her husband also showed off a snap of the design, along with a picture of his new Leo De Vroomen wedding band.
The couple are currently enjoying a mini-moon holiday together ahead of their second wedding ceremony in Marrakech this weekend.
It is again likely to be a star-studded affair; guests at the London celebration included sisters Cara Delevingne and Chloe Delevingne, Lord and Lady Lloyd-Webber, former Spice Girl Geri Halliwell, designer Matthew Williamson and TV presenter Trinny Woodall.
HELLO! magazine was on hand to share in the couple's magical wedding ceremony, which took place at St Paul's Church in Knightsbridge. Poppy, 28, was led down the aisle by a group of 14 young bridesmaid and page boys, some of them nieces and godchildren, in a dress designed especially for her by Chanel's Karl Lagerfeld.
Poppy's brother-in-law Ed Grant, who married Chloe Delevingne in a Mayfair ceremony in February of this year, has also shared some candid shots from inside the couple's wedding.
One picture shows him stood between his wife Chloe and supermodel Cara, captioned, "Sandwiched by two of the most beautiful girls in the world!", while another shows the two sisters in the back of a car seemingly enroute to the ceremony.