The Celebrity Big Brother winner, who got engaged to Katie Price's ex back in October, declared that giving birth to their daughter on June 17 is "the best thing... [she's] ever done".
"I'm feeling on top of the world after having my baby girl," she wrote in her New column. "I can't even describe how happy I am.
"It's the best thing I've ever, ever done and I just wish I'd done it sooner... Alex feels the same way. His heart melted when he first saw her.
"She's the most amazing thing I've ever seen and I'm completely in love with her."
Houghton also told fans that she will soon be debuting her still-unnamed child in the press.
"I can't wait for you to see her so I'll be doing a photo shoot and interview with New very soon," she pledged. "Alex and I are totally thrilled."
Houghton previously admitted to being "frightened" by the prospect of motherhood.
Photo gallery - Chantelle Houghton and Alex Reid's relationship:
Copyright: Rex Features Steve Meddle/Rex Features