The two pictures were taken by Princess Charlotte’s mother, the Duchess of Cambridge, at their family home, Anmer Hall in Norfolk.
Kate Middleton also took a joint portrait of her two children – Prince George, aged 2, and Princess Charlotte – a few weeks after her daughter was born in May.
The last time Princess Charlotte was seen in public was in July during her christening.
In a statement Kensington Palace said: “The duke and duchess continue to receive warm messages about Princess Charlotte from all around the world and they hope that everyone enjoys these lovely photos as much as they do.”
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