The video shows the couple -- who said "I do" in a ceremony in Malibu, Calif. -- kissing, getting ready and dancing during their special night.
Along with the video, the Twilight actress dedicated lyrics from Johnnyswim's "Take the World" to her new husband on Tuesday, and wrote: "You are/ My every dream brought to life/ We are/ A cosmic collision/ This is/ A lifetime felt in every moment I'm by your side/ My love/ My human...happy one month".
You are My every dream brought to life We are A cosmic collision This is A lifetime felt in every moment I'm by your side My love My human...happy one month. Thank you @glassjarphotos for capturing the most important day of our lives... Thank you @clairepettibone for creating this work of art aka my dress... Music by @johnnyswim
While chatting with E! news at a Maybelline New York event earlier this month, Reed revealed that she wants to be a mother. "At some point, yes," she said.