The intrinsically stretchable light emitting diodes (LEDs) have mostly been developed with polymer emitting layers. However, the organic LEDs are not able to emit vivid colors due to their poor color purity with a wide full width at half maximum, 70-90 nm. Here, we propose an intrinsically stretchable perovskite quantum dots LED by introducing perovskite QDs with a narrow FWHM, 15~25 nm in the semiconducting polymer matrix. To have a larger energy band gap than the perovskite QD for the efficient energy transfer, the stretchable polymer matrix was optimized. The homogeneously dispersed perovskite QD helped attain a concrete physical interaction with the polymer matrix. This intrinsically stretchable LEDs could be stretched up to 100% and emitted light under the high strain with great color purity, approximately 18 nm of FWHM. Thus, the intrinsically stretchable perovskite QD LEDs would be auspiciously used for the stretchable free-form wearable devices for various biomedical applications.