Monaco prince in the swim for bride
The palace did not indicate a planned wedding date, but the statement puts to rest months of speculation they would tie the knot.
It will be the first marriage of a reigning prince since Hollywood actress Grace Kelly married Albert's father, Prince Rainier III, in 1956.
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Hide AdPrincess Grace died in a car accident in 1982, casting a pall of tragedy over the family.
Palace spokeswoman Laetitia Pierrat said Prince Albert met Miss Wittstock in 2000 when she was visiting Monaco for a swimming competition. She has lived in the principality since 2006.
According to protocol, royal couples must wait at least six months between the announcement of the engagement and the wedding day.