This Letter presents a design of a polarisation-dependent resistor-loaded resonant absorber at microwave frequencies. The unit cell includes a metallic loop and a metallic ground plane, separated by a 3.2 mm FR-4 substrate. A resistor is used to connect the top and bottom layers to create an optimal load for dissipation of the power accepted by the structure in a desired polarisation. Experiments performed on a prototype consisting of 10 × 10 unit cells demonstrate that the absorber can achieve near unity absorption in co-polarised direction and almost full reflection in cross-polarised direction at its working frequency of 2.52 GHz. The measured bandwidth of the absorber reaches 0.17 GHz (6.7%), which is wider than comparable designs using electric-field-coupled-LC resonators. The optimal resistor selection and the effect of radio-frequency behaviour of the loading resistor on the absorbing properties is investigated.