A pop-up gift card includes a card that is foldable along a fold line between closed and opened positions. The card includes a separable perforated section extending over both sides of the fold line. An erectable pop-up display structure comprising a plurality of intersecting slice-form elements is mounted on the perforated section of the card. When the card is closed, the pop-up display structure is in a flattened state, and when the card is opened, the pop-up display structure is in an erected 3-D state. The pop-up display structure can be removed from the card by separating the perforated section from the rest of the card. A support element can be affixed to the perforated section for maintaining the pop-up display structure in the 3-D state when the pop-up display structure is removed from the card.