In this paper, we investigate the Hawking radiation of the Taub-NUT black hole by Hamilton–Jacobi method. When the unfixed background space-time and self-gravitational interaction are considered, the tunnelling rate is related to the change of Bekenstein–Hawking entropy and the radiation spectrum deviates from the purely thermal one. This result is in accordance with Parikh and Wilczek's opinion and gives a correction to the Hawking radiation of the black hole.

PACS numbers: 04.70.–s, 04.70.Dy, 97.60.Lf