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The newlyweds, who tied the knot in April, appeared in high spirits as they snapped pictures at several central London locations.
Taking to social media, the married couple certainly looked loved up as they shared a number of pictures.
Beckham and Peltz chose to share the same picture of a playful moment where she jumped on his back during an evening outing in London.
At another point, Beckham also joked his wife wasn’t “used to the English weather” as he posted an Instagram story of Peltz rushing into a black car when the rain started.
“Bring your wife to work day x she’s not used to the English weather,” he joked.
Peltz also shared a number of snaps on her Instagram stories that featured the couple standing in a doorway and another where they posed for a selfie in a newsagents.
The couple’s London outing comes just over one month after they married at a luxury wedding ceremony in Palm Beach, Florida.
Surrounded by over 600 guests, the couple said their vows at a celebration reportedly worth $3 million.
It was an A-list affair with high profile stars attending including Serena Williams, Gordon Ramsay and Eva Longoria.
It has since emerged social media was banned at the wedding and security provided guests with an electronic locking bag to maintain the ban.
The bags would only unlock when guests were in locations where social media was permitted.
In order to still take pictures, Peltz and Beckham actually used vintage flip phones that didn’t have access to social media platforms.
Brooklyn Beckham and Nicola Peltz - In pictures
Unveiling a snap of the old-school gadgets on social media, Peltz said: ”Our wedding phones and the only personal pics we took @brooklynpeltzbeckham.”
As well as banning social media because of their Vogue magazine mega-deal, the couple also requested guests donate funds toward Ukraine instead of buying wedding presents.
“Me and Brooklyn are devastated about what is going on in Ukraine and have asked for donations to CareOrg in lieu of wedding gifts. Anything helps,” the couple said after their nuptials.