Three monocot-infecting mastreviruses from Australia, all found primarily in pasture and naturalised grasses, have been characterised at the molecular level. Here, we present the full genome sequence of a fourth, Paspalum striate mosaic virus (PSMV), isolated from Paspalum dilatatum from south-east Queensland. The genome was 2816 nt long and had an organisation typical of other monocot-infecting mastreviruses. Its nearest relative is Bromus cartharticus striate mosaic virus (BCSMV), with which it shares an overall genome identity of 75%. Phylogenetic analysis of the complete genome and each of the putative viral proteins places PSMV in a group with the other three Australian striate mosaic viruses. PSMV, BCSMV and Digitaria didactyla striate mosaic virus all contain a similar, small recombinant sequence in the small intergenic region.