Tobamoviruses represent a well-characterized system used to examine viral infection, whereas Arabidopsis is a choice plant for most genetic experiments. It would be useful to combine both approaches into one experimental system for virus–plant interaction. Most tobamoviruses, however, are not pathogenic in Arabidopsis. Here, we describe infection of Arabidopsis by a recently discovered crucifer-infecting turnip vein clearing tobamovirus (TVCV). Using this system, we determined patterns and kinetics of viral local and systemic movement within Arabidopsis plants. Localization studies showed that the virus infects both vegetative and reproductive plant tissues. However, there may be a transport barrier between the seed coat and the embryo which virions cannot cross, preventing seed transmission of TVCV. The ability to move both locally and systemically in Arabidopsis, causing mild and fast-developing symptoms but allowing survival and fertility of the infected plants, distinguish TVCV infection of Arabidopsis as a model system to study virus–plant interaction.