Constance of Świdnica (c. 1313 – 21 November 1363) was a member of the Piast dynasty in the Świdnica-Jawor branch and by marriage Duchess of Głogów.
This union brought Przemko II closer to Constance's powerful grandfather, Władysław I the Elbow-high.
After five years of childless union, Przemko II died suddenly on 11 January 1331, allegedly poisoned by his own vassals.
After almost thirty years, in 1360, the Bohemian Kingdom finally recognized Constance's rights as widow of Przemko II.
Constance ruled effectively for only one year: in 1361 she renounced to her lands on behalf of her brother Bolko II the Small.