A metasurface‐based broadband reflective polarisation converter with dual L‐shaped patches and dual trapezoidal patches for linear‐to‐linear polarisation conversion and linear‐to‐circular polarisation conversion is proposed in this study. The simulated and measured results demonstrate that the polarisation rotation can be effectively implemented in the frequency bands 9.24–12.25 GHz and 21.23–23.01 GHz, with the fractional bandwidth of the former being 28.01%. In addition, linear‐to‐circular polarisation conversion is performed with fractional bandwidths of 42.86% and 14.49% at 13.09–20.23 GHz and 23.62–27.31 GHz respectively. In the primary bands of linear‐to‐linear polarisation conversion and linear‐to‐circular polarisation conversion, the converter can operate within an incident angle range of 55° for polarised wave. This design may have potential uses in polarisation control devices used in the field of communications in X‐, Ku‐ and K‐bands.