Prince Harry and Meghan pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor on Wednesday. Dominic Lipinski / AFP

The Duke and Duchess of Sussex have named their son Archie Harrison Mountbatten-Windsor, Buckingham Palace has said.

The baby's middle name Harrison means "son of Harry".

The palace has confirmed the baby will not be granted any courtesy titles, upon the request of Prince Harry and Meghan.

The newest member of the royal family was born in Windsor on 6 May and is seventh in line to the throne.

Speaking from St George's Hall at Windsor Castle today, the duchess said: "It's magic, it's pretty amazing. I have the two best guys in the world so I'm really happy."

Cradling his son, wrapped in a white blanket and wearing a hat, Harry and Meghan appeared before a small group of media at St George's Hall in Windsor castle where they held their wedding reception just under a year ago.

"It's magic - it's pretty amazing and I have the two best guys in the world so I am really happy," Meghan said when asked how she was finding being a new mother.

She said the boy, the seventh-in-line to the British throne who has not yet been publicly named, had the sweetest temperament and was sleeping well.

Prince Harry and Meghan with their baby son during a photocall in St George's Hall at Windsor Castle on Wednesday. Dominic Lipinski / Reuters

"He's just been a dream so it's been a special couple of days." The baby was born in the early hours of Monday morning, weighing 3.26 kg, but few other details have been given about the birth.

"It's great, parenting is amazing," Harry said.

"It's only been two-and-a-half days, three days, but we're just so thrilled to have our own little bundle of joy, to be able to spend some precious time with him as he slowly starts to grow up."

The couple said they were about to visit 93-year-old Elizabeth, the world's longest-reigning monarch, at the castle to allow her to meet her eighth great-grandchild.

Meghan's mother Doria Ragland is staying with the couple at their home Frogmore Cottage, on the castle's estate.

"It will a nice moment to introduce the baby to more family and my mum's with us as well," Meghan said.

Reuters