We search for far-infrared ( FIR ) counterparts of known supernova remnants ( SNRs ) in the Galactic plane ( 360 ^ { \circ } in longitude and b = \pm 1 ^ { \circ } ) at 70 – 500 \mu m with Herschel . We detect dust signatures in 39 SNRs out of 190 , made up of 13 core-collapse supernovae ( CCSNe ) , including 4 Pulsar Wind Nebulae ( PWNe ) , and 2 Type Ia SNe . A further 24 FIR detected SNRs have unknown types . We confirm the FIR detection of ejecta dust within G350.1 - 0.3 , adding to the known sample of \sim 10 SNRs containing ejecta dust . We discover dust features at the location of a radio core at the centre of G351.2 + 0.1 , indicating FIR emission coincident with a possible Crab-like compact object , with dust temperature and mass of T _ { d } = 45.8 K and M _ { d } = 0.18 M _ { \odot } , similar to the PWN G54.1 + 0.3 . We show that the detection rate is higher among young SNRs . We produce dust temperature maps of 11 SNRs and mass maps of those with distance estimates , finding dust at temperatures 15 \lesssim T _ { d } \lesssim 40 K. If the dust is heated by shock interactions the shocked gas must be relatively cool and/or have a low density to explain the observed low grain temperatures .