King has been at Moncler since 2011, first as president of Asia Pacific before becoming chief Chinese business officer in January 2022. She has also served as a non-executive director of Moncler-owned Stone Island between March 2021 and April 2024.
Set to leave her current position on 31 December, King will join Burberry's board as an independent non-executive director and member of the nomination committee on 1 April 2025.
Prior to Moncler, she worked as president of Asia Pacific for Sergio Rossi and held various positions at luxury department store Lane Crawford in mainland China.
Meanwhile, Burberry's non-executive directors Fabiola Arredondo and Antoine de Saint-Affrique will step down from the board following the company's Annual General Meeting (AGM) in July 2025.
Burberry chair Gerry Murphy said: "Stella has an impressive and deep understanding of the luxury market and consumers in the Asia Pacific region. Her insight and expertise will be a great asset to Burberry.
"On behalf of the board, I want to thank Fabiola and Antoine for their service to the company. The board has benefitted greatly from their extensive knowledge and experience throughout their tenures and I wish them both every success in their future endeavours."
In November, Burberry outlined a plan to re-ignite the brand, as it reported a pre-tax loss of £80m for the 26 weeks to 28 September, against a £219m pre-tax profit in the same period last year.
The business attributed its 20% drop in revenue to £1.08bn to "inconsistent brand execution, and a lack of focus on our core outerwear category and our core customer segments".
CEO Joshua Schulman, who replaced Jonathan Akeroyd in July, has since made a number of key appointments. These included hiring former Topshop/Topman CEO Paul Price as chief product merchandising and planning officer, Jonathan Kiman as chief marketing officer and Laura Dubin-Wander as president of Americas.