A stretchable display device includes: a stretchable display panel including: pixels; a first resistive film extending in a first direction; and a second resistive film extending in a second direction; a scan driver to provide a scan signal to the pixels; a data driver to provide a data signal or a compensated data signal to the pixels; a row detection driver to detect a first current flowing through the first resistive film to generate a first detection signal; a column detection driver to detect a second current flowing through the second resistive film to generate a second detection signal; a compensation control signal generator to receive the first and the second detection signals to detect amounts of variations of the first and the second currents, and to generate a compensation control signal; and a timing controller to generate the compensated data signal based on the compensation control signal.