A system for simultaneously acquiring images in color and in the near-infrared comprising a single matrix sensor comprises a first, second and third type of pixels sensitive to respective visible colors and a fourth type of panchromatic pixel, these pixels being also sensitive in the near-infrared; and a signal processing circuit configured to: reconstruct a first set of monochromatic images from signals generated by the pixels of the first, second and third type, respectively; reconstruct a panchromatic image from signals generated by the pixels of the fourth type; reconstruct a second set of monochromatic images from signals generated by the pixels of the first, second and third types, and from the panchromatic image; reconstruct an image in colors from the images of the first set and from the panchromatic image, and reconstruct at least one image in the near-infrared from the images of the second set and from the panchromatic image. A visible-near-infrared bispectral camera comprises such an acquisition system and method implemented by means of such a camera.