The couple want a formal service following their original nuptials in Las Vegas in February.
'We're going to have a traditional ceremony in a church in the UK at some point this summer,' he says.
Alex, 34, is fuming about reports their US wedding wasn't valid.
It was claimed Reverend Mose Henney was not qualified to marry the couple in Sin City.
'We got it checked out and the Reverend Henney is in fact authorised to perform marriage ceremonies,' Alex writes in his Star diary.
'But do you know what? Even if it hadn't been legit, we'd have gone straight back to Vegas and done it again.'
Where to next?
- Alex Reid's rise to fame
- Jordan voted most hated woman in Britain
- How Peter Andre's coping with single life