Conventional imaging systems have large thickness and high operating cost because of requiring lenses such as convex lenses. To make imaging systems with lower operating cost and better compactness, lensless imaging systems have developed rapidly, such as lensless microscopes. Here, a polarizer is used to achieve polarization information and double-sided transparent tape instead of convex lenses is used to collect object morphologic information. A lensless polarization computed imaging system is constructed and described in detail by combining computational imaging technique. The system is introduced systematically. Its functionality as a camera is demonstrated experimentally; the acquired polarized images comply with the Marius polarization law. The lensless polarization imaging system based on scattering components can reduce the camera thickness and cost, and can be applied to acquisition of polarized images.