The newly established family Anelloviridae includes a number of viruses infecting humans (Torque teno viruses) and other animal species. The ones infecting domestic swine and wild boar are nowadays named Torque teno sus viruses (TTSuV), which are small circular single-stranded DNA viruses highly prevalent in the pig population. So far, two genetically distinct TTSuV species are infecting swine. Both TTSuVs appear to efficiently spread by vertical and horizontal transmission routes; in fact, foetuses may be infected and the prevalence and viral loads increase by age of the animals. Detailed immunological studies on TTSuVs are still lacking, but it seems that there are no efficient immunological responses limiting viraemia. These viruses are currently receiving more attention due to the latest results on disease association. Torque teno sus viruses have been circulating unnoticed in pigs for a long time, and even considered non-pathogenic by themselves; there is increasing evidence that points to influence the development of some diseases or even affect their outcome. Such link has been mainly established with porcine circovirus diseases.