Peaches Geldof, son Astala and Thomas Cohen (Gotchaimages.com)

Peaches Geldof, the 23-year-old daughter of Bob Geldof gave birth to Astala Dylan Willow in April and she and fiance Thomas Cohen have now taken the tot away for a family vacation.

Peaches posted a series of pictures of the happy trio on her twitter account, including one where the family are all looking up at the camera as they lay on the beach.

She wrote: "Embarrassing suncream on my nose and sunglasses lolz (sic)."

Peaches also posted pictures of herself holding Astala and showing off a huge tattoo on her own back with the title "Me and Astala on holiday x x".

The young star appears make-up free and has left her blonde hair loose as she and the baby look into the camera.

Meanwhile, another picture with the caption "posing", shows Astala with his dad.

After Peaches gave birth in April, both she and Thomas took to their twitter accounts to share their joy.

She wrote: "yes, it's true - I'M A MUMMY!

"My little boy is the most beautiful thing in this world. When he holds @tomfromscum's finger with his hand its the sweetest thing ever. (sic)"

Tom added: "I'm a dad he is the most perfect thing ever so proud of his beautiful mum @peaches_g and overcome with joy x (sic)"