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The polarized images of a synchrotron emitting ring are studied in theregular Hayward and Bardeen black hole spacetimes. These regular black holescarry a magnetic field in terms of gravity coupled to nonlinearelectrodynamics. Results show that the main features of the polarization imagesof the emitting rings are similar in these two regular black hole spacetimes.As the magnetic charge parameter increase, the polarization intensity and theelectric vector position angle in the image plane increase in Hayward andBardeen black hole spacetimes. Moreover, the polarization intensity andelectric vector position angle in the image of the emitting ring in the Haywardblack hole spacetime are closer to those in the Schwarzschild case. The effectsof the magnetic charge parameter on the Strokes $Q-U$ loops are also slightlysmaller in the Hayward black hole spacetime. This information stored in thepolarization images around Hayward and Bardeen black holes could helpunderstand regular black holes and the gravity coupled to nonlinearelectrodynamics.

Polarization distribution in the image of a synchrotron emitting ring around a regular black hole