The 23-year-old TV presenter, who is pregnant with her second child, exchanged vows with rocker Cohen in September last year but they only managed to get away and enjoy the traditional romantic vacation on January 22, reported Contactmusic.
Peaches shared a number of photos from their sunny destination via social-networking site, but did not reveal where they had chosen to holiday.
"Me at the airport yesterday missing Grublet who is staying at his grandma and grandpa Cohens for the few days we are here! Going to facetime (video chat) with him tonight miss him loads," she posted.
Peaches Geldof announced she was expecting another son in November.