Aims. We present observations of the Orion Bar photodissociation region (PDR) obtained with the SPIRE instrument on-board Herschel. Methods. We obtained SPIRE Fourier-transform spectrometer (FTS) sparse sampled maps of the Orion bar. Results. The FTS wavelength coverage and sensitivity allow us to detect a wealth of rotational lines of CO (and its isotopologues), fine structure lines of C and N + , and emission lines from radicals and molecules such as CH + , CH, H 2 O or H 2 S. For species detected from the ground, our estimates of the column densities agree with previously published values. The comparison between 12 CO and 13 CO maps shows particularly the effects of optical depth and excitation in the molecular cloud. The distribution of the 12 CO and 13 CO lines with upper energy levels indicates the presence of warm (∼100-150 K) CO. This warm CO component is a significant fraction of the total molecular gas, confirming previous ground based studies.