Circoviruses cause severe disease in pigs and birds. Canine circovirus has thus far only been associated with respiratory and gastrointestinal disorders and systemic disease in dogs. The Iberian lynx (Lynx pardinus) is one of the most endangered carnivores in Europe and the most endangered felid worldwide. Exploring the virome of these animals may be important in terms of virus discovery and assessing the interspecies-circulation of viruses from related carnivores. In this study, 162 spleen samples from Iberian lynx were screened for CRESS DNA viruses. Overall, 11 (6.8%) of 162 samples tested positive using a consensus PCR. Partial rep sequences were tightly related to each other (96.6–100%). Specific molecular protocols were designed on the partial rep sequences of the novel virus, Iberian lynx-associated circovirus-1 (ILCV-1). By screening a subset of 45 spleen samples, the infection rate of ILCV-1 in Iberian lynxes was 57.8% (26/45). ILCV-1 strains formed a separate cluster intermingled with bat, rodent, mongoose, and felid circoviruses. The genome of the novel virus displayed the highest nucleotide identity (64.3–65.3%) to mongoose circoviruses, thus representing a novel candidate circovirus species. The detection of these viruses in the spleen tissues could suggest systemic infection in the animal host. Overall, these findings suggest that this novel circovirus is common in the Iberian lynx. Further studies are warranted to assess the possible health implications of ILCV-1 in this endangered species.